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Finding the Fourth Proportional to 59.13, 88.53 and 51.87

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Solution

The fourth proportional to 59.13, 88.53 and 51.87 is: 77.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.13 : 88.53 = 51.87 : x
  2. Step 2: Convert to fraction form
    59.13/88.53 = 51.87/x
  3. Step 3: Cross multiply
    59.13x = 88.53 × 51.87
  4. Step 4: Simplify right side
    59.13x = 4,592.05
  5. Step 5: Solve for x
    x = 4,592.05/59.13
  6. Step 6: Final answer
    x = 77.66

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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.