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Finding the Fourth Proportional to 59.66, 89.29 and 52.39

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Solution

The fourth proportional to 59.66, 89.29 and 52.39 is: 78.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.66 : 89.29 = 52.39 : x
  2. Step 2: Convert to fraction form
    59.66/89.29 = 52.39/x
  3. Step 3: Cross multiply
    59.66x = 89.29 × 52.39
  4. Step 4: Simplify right side
    59.66x = 4,677.95
  5. Step 5: Solve for x
    x = 4,677.95/59.66
  6. Step 6: Final answer
    x = 78.42

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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.