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Finding the Fourth Proportional to 156.46, 215.90 and 109.84

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Solution

The fourth proportional to 156.46, 215.90 and 109.84 is: 151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.46 : 215.90 = 109.84 : x
  2. Step 2: Convert to fraction form
    156.46/215.90 = 109.84/x
  3. Step 3: Cross multiply
    156.46x = 215.90 × 109.84
  4. Step 4: Simplify right side
    156.46x = 23,714.46
  5. Step 5: Solve for x
    x = 23,714.46/156.46
  6. Step 6: Final answer
    x = 151.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.