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Finding the Fourth Proportional to 89.31, 123.19 and 60.19

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Solution

The fourth proportional to 89.31, 123.19 and 60.19 is: 83.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.31 : 123.19 = 60.19 : x
  2. Step 2: Convert to fraction form
    89.31/123.19 = 60.19/x
  3. Step 3: Cross multiply
    89.31x = 123.19 × 60.19
  4. Step 4: Simplify right side
    89.31x = 7,414.81
  5. Step 5: Solve for x
    x = 7,414.81/89.31
  6. Step 6: Final answer
    x = 83.02

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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.