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Finding the Fourth Proportional to 156.42, 215.83 and 98.22

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Solution

The fourth proportional to 156.42, 215.83 and 98.22 is: 135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.42 : 215.83 = 98.22 : x
  2. Step 2: Convert to fraction form
    156.42/215.83 = 98.22/x
  3. Step 3: Cross multiply
    156.42x = 215.83 × 98.22
  4. Step 4: Simplify right side
    156.42x = 21,197.50
  5. Step 5: Solve for x
    x = 21,197.50/156.42
  6. Step 6: Final answer
    x = 135.51

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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.