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Finding the Fourth Proportional to 83.03, 123.71 and 74.88

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Solution

The fourth proportional to 83.03, 123.71 and 74.88 is: 111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.03 : 123.71 = 74.88 : x
  2. Step 2: Convert to fraction form
    83.03/123.71 = 74.88/x
  3. Step 3: Cross multiply
    83.03x = 123.71 × 74.88
  4. Step 4: Simplify right side
    83.03x = 9,263.03
  5. Step 5: Solve for x
    x = 9,263.03/83.03
  6. Step 6: Final answer
    x = 111.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.