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Finding the Fourth Proportional to 59.75, 89.14 and 52.05

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Solution

The fourth proportional to 59.75, 89.14 and 52.05 is: 77.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.75 : 89.14 = 52.05 : x
  2. Step 2: Convert to fraction form
    59.75/89.14 = 52.05/x
  3. Step 3: Cross multiply
    59.75x = 89.14 × 52.05
  4. Step 4: Simplify right side
    59.75x = 4,639.61
  5. Step 5: Solve for x
    x = 4,639.61/59.75
  6. Step 6: Final answer
    x = 77.66

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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.