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Finding the Fourth Proportional to 89.14, 123.00 and 52.29

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Solution

The fourth proportional to 89.14, 123.00 and 52.29 is: 72.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.14 : 123.00 = 52.29 : x
  2. Step 2: Convert to fraction form
    89.14/123.00 = 52.29/x
  3. Step 3: Cross multiply
    89.14x = 123.00 × 52.29
  4. Step 4: Simplify right side
    89.14x = 6,432.11
  5. Step 5: Solve for x
    x = 6,432.11/89.14
  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.