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Finding the Fourth Proportional to 59.92, 89.40 and 54.16

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Solution

The fourth proportional to 59.92, 89.40 and 54.16 is: 80.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.92 : 89.40 = 54.16 : x
  2. Step 2: Convert to fraction form
    59.92/89.40 = 54.16/x
  3. Step 3: Cross multiply
    59.92x = 89.40 × 54.16
  4. Step 4: Simplify right side
    59.92x = 4,841.32
  5. Step 5: Solve for x
    x = 4,841.32/59.92
  6. Step 6: Final answer
    x = 80.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.