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Finding the Fourth Proportional to 89.16, 122.99 and 61.17

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Solution

The fourth proportional to 89.16, 122.99 and 61.17 is: 84.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.16 : 122.99 = 61.17 : x
  2. Step 2: Convert to fraction form
    89.16/122.99 = 61.17/x
  3. Step 3: Cross multiply
    89.16x = 122.99 × 61.17
  4. Step 4: Simplify right side
    89.16x = 7,522.38
  5. Step 5: Solve for x
    x = 7,522.38/89.16
  6. Step 6: Final answer
    x = 84.37

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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.