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Finding the Fourth Proportional to 98.50, 135.90 and 59.14

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Solution

The fourth proportional to 98.50, 135.90 and 59.14 is: 81.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.50 : 135.90 = 59.14 : x
  2. Step 2: Convert to fraction form
    98.50/135.90 = 59.14/x
  3. Step 3: Cross multiply
    98.50x = 135.90 × 59.14
  4. Step 4: Simplify right side
    98.50x = 8,037.13
  5. Step 5: Solve for x
    x = 8,037.13/98.50
  6. Step 6: Final answer
    x = 81.60

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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.