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Finding the Fourth Proportional to 104.90, 156.87 and 59.13

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Solution

The fourth proportional to 104.90, 156.87 and 59.13 is: 88.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.90 : 156.87 = 59.13 : x
  2. Step 2: Convert to fraction form
    104.90/156.87 = 59.13/x
  3. Step 3: Cross multiply
    104.90x = 156.87 × 59.13
  4. Step 4: Simplify right side
    104.90x = 9,275.72
  5. Step 5: Solve for x
    x = 9,275.72/104.90
  6. Step 6: Final answer
    x = 88.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.