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Finding the Fourth Proportional to 89.53, 123.49 and 56.33

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Solution

The fourth proportional to 89.53, 123.49 and 56.33 is: 77.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.53 : 123.49 = 56.33 : x
  2. Step 2: Convert to fraction form
    89.53/123.49 = 56.33/x
  3. Step 3: Cross multiply
    89.53x = 123.49 × 56.33
  4. Step 4: Simplify right side
    89.53x = 6,956.80
  5. Step 5: Solve for x
    x = 6,956.80/89.53
  6. Step 6: Final answer
    x = 77.71

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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.