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Finding the Fourth Proportional to 89.14, 122.99 and 52.30

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Solution

The fourth proportional to 89.14, 122.99 and 52.30 is: 72.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.14 : 122.99 = 52.30 : x
  2. Step 2: Convert to fraction form
    89.14/122.99 = 52.30/x
  3. Step 3: Cross multiply
    89.14x = 122.99 × 52.30
  4. Step 4: Simplify right side
    89.14x = 6,432.20
  5. Step 5: Solve for x
    x = 6,432.20/89.14
  6. Step 6: Final answer
    x = 72.16

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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.