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Finding the Fourth Proportional to 89.69, 123.62 and 74.88

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Solution

The fourth proportional to 89.69, 123.62 and 74.88 is: 103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.69 : 123.62 = 74.88 : x
  2. Step 2: Convert to fraction form
    89.69/123.62 = 74.88/x
  3. Step 3: Cross multiply
    89.69x = 123.62 × 74.88
  4. Step 4: Simplify right side
    89.69x = 9,256.80
  5. Step 5: Solve for x
    x = 9,256.80/89.69
  6. Step 6: Final answer
    x = 103.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.