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Finding the Fourth Proportional to 89.71, 123.78 and 52.86

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Solution

The fourth proportional to 89.71, 123.78 and 52.86 is: 72.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.71 : 123.78 = 52.86 : x
  2. Step 2: Convert to fraction form
    89.71/123.78 = 52.86/x
  3. Step 3: Cross multiply
    89.71x = 123.78 × 52.86
  4. Step 4: Simplify right side
    89.71x = 6,542.68
  5. Step 5: Solve for x
    x = 6,542.68/89.71
  6. Step 6: Final answer
    x = 72.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.