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Finding the Fourth Proportional to 89.24, 123.12 and 60.16

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Solution

The fourth proportional to 89.24, 123.12 and 60.16 is: 83.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.24 : 123.12 = 60.16 : x
  2. Step 2: Convert to fraction form
    89.24/123.12 = 60.16/x
  3. Step 3: Cross multiply
    89.24x = 123.12 × 60.16
  4. Step 4: Simplify right side
    89.24x = 7,406.90
  5. Step 5: Solve for x
    x = 7,406.90/89.24
  6. Step 6: Final answer
    x = 83.00

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