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Finding the Fourth Proportional to 89.67, 123.75 and 56.91

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Solution

The fourth proportional to 89.67, 123.75 and 56.91 is: 78.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.67 : 123.75 = 56.91 : x
  2. Step 2: Convert to fraction form
    89.67/123.75 = 56.91/x
  3. Step 3: Cross multiply
    89.67x = 123.75 × 56.91
  4. Step 4: Simplify right side
    89.67x = 7,042.61
  5. Step 5: Solve for x
    x = 7,042.61/89.67
  6. Step 6: Final answer
    x = 78.54

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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.