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Finding the Fourth Proportional to 156.49, 215.73 and 109.72

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Solution

The fourth proportional to 156.49, 215.73 and 109.72 is: 151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.49 : 215.73 = 109.72 : x
  2. Step 2: Convert to fraction form
    156.49/215.73 = 109.72/x
  3. Step 3: Cross multiply
    156.49x = 215.73 × 109.72
  4. Step 4: Simplify right side
    156.49x = 23,669.90
  5. Step 5: Solve for x
    x = 23,669.90/156.49
  6. Step 6: Final answer
    x = 151.26

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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.