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Finding the Fourth Proportional to 89.71, 123.78 and 50.90

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Solution

The fourth proportional to 89.71, 123.78 and 50.90 is: 70.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.71 : 123.78 = 50.90 : x
  2. Step 2: Convert to fraction form
    89.71/123.78 = 50.90/x
  3. Step 3: Cross multiply
    89.71x = 123.78 × 50.90
  4. Step 4: Simplify right side
    89.71x = 6,299.78
  5. Step 5: Solve for x
    x = 6,299.78/89.71
  6. Step 6: Final answer
    x = 70.22

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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.