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Finding the Fourth Proportional to 89.13, 123.02 and 60.03

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Solution

The fourth proportional to 89.13, 123.02 and 60.03 is: 82.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.13 : 123.02 = 60.03 : x
  2. Step 2: Convert to fraction form
    89.13/123.02 = 60.03/x
  3. Step 3: Cross multiply
    89.13x = 123.02 × 60.03
  4. Step 4: Simplify right side
    89.13x = 7,384.59
  5. Step 5: Solve for x
    x = 7,384.59/89.13
  6. Step 6: Final answer
    x = 82.85

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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.