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Finding the Fourth Proportional to 89.87, 123.70 and 65.27

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Solution

The fourth proportional to 89.87, 123.70 and 65.27 is: 89.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.87 : 123.70 = 65.27 : x
  2. Step 2: Convert to fraction form
    89.87/123.70 = 65.27/x
  3. Step 3: Cross multiply
    89.87x = 123.70 × 65.27
  4. Step 4: Simplify right side
    89.87x = 8,073.83
  5. Step 5: Solve for x
    x = 8,073.83/89.87
  6. Step 6: Final answer
    x = 89.84

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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.