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Finding the Fourth Proportional to 59.56, 88.92 and 52.74

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Solution

The fourth proportional to 59.56, 88.92 and 52.74 is: 78.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.56 : 88.92 = 52.74 : x
  2. Step 2: Convert to fraction form
    59.56/88.92 = 52.74/x
  3. Step 3: Cross multiply
    59.56x = 88.92 × 52.74
  4. Step 4: Simplify right side
    59.56x = 4,689.64
  5. Step 5: Solve for x
    x = 4,689.64/59.56
  6. Step 6: Final answer
    x = 78.74

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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.