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Finding the Fourth Proportional to 59.52, 89.05 and 52.23

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Solution

The fourth proportional to 59.52, 89.05 and 52.23 is: 78.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.52 : 89.05 = 52.23 : x
  2. Step 2: Convert to fraction form
    59.52/89.05 = 52.23/x
  3. Step 3: Cross multiply
    59.52x = 89.05 × 52.23
  4. Step 4: Simplify right side
    59.52x = 4,651.08
  5. Step 5: Solve for x
    x = 4,651.08/59.52
  6. Step 6: Final answer
    x = 78.14

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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.