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Finding the Fourth Proportional to 59.32, 82.02 and 54.10

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Solution

The fourth proportional to 59.32, 82.02 and 54.10 is: 74.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.32 : 82.02 = 54.10 : x
  2. Step 2: Convert to fraction form
    59.32/82.02 = 54.10/x
  3. Step 3: Cross multiply
    59.32x = 82.02 × 54.10
  4. Step 4: Simplify right side
    59.32x = 4,437.28
  5. Step 5: Solve for x
    x = 4,437.28/59.32
  6. Step 6: Final answer
    x = 74.80

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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.