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Finding the Fourth Proportional to 89.17, 123.08 and 52.33

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Solution

The fourth proportional to 89.17, 123.08 and 52.33 is: 72.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.17 : 123.08 = 52.33 : x
  2. Step 2: Convert to fraction form
    89.17/123.08 = 52.33/x
  3. Step 3: Cross multiply
    89.17x = 123.08 × 52.33
  4. Step 4: Simplify right side
    89.17x = 6,440.78
  5. Step 5: Solve for x
    x = 6,440.78/89.17
  6. Step 6: Final answer
    x = 72.23

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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.