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Finding the Fourth Proportional to 89.31, 123.21 and 52.45

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Solution

The fourth proportional to 89.31, 123.21 and 52.45 is: 72.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.31 : 123.21 = 52.45 : x
  2. Step 2: Convert to fraction form
    89.31/123.21 = 52.45/x
  3. Step 3: Cross multiply
    89.31x = 123.21 × 52.45
  4. Step 4: Simplify right side
    89.31x = 6,461.75
  5. Step 5: Solve for x
    x = 6,461.75/89.31
  6. Step 6: Final answer
    x = 72.35

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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.