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Finding the Fourth Proportional to 89.28, 123.14 and 58.16

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Solution

The fourth proportional to 89.28, 123.14 and 58.16 is: 80.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.28 : 123.14 = 58.16 : x
  2. Step 2: Convert to fraction form
    89.28/123.14 = 58.16/x
  3. Step 3: Cross multiply
    89.28x = 123.14 × 58.16
  4. Step 4: Simplify right side
    89.28x = 7,161.82
  5. Step 5: Solve for x
    x = 7,161.82/89.28
  6. Step 6: Final answer
    x = 80.22

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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.