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Finding the Fourth Proportional to 82.16, 123.17 and 49.66

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Solution

The fourth proportional to 82.16, 123.17 and 49.66 is: 74.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.16 : 123.17 = 49.66 : x
  2. Step 2: Convert to fraction form
    82.16/123.17 = 49.66/x
  3. Step 3: Cross multiply
    82.16x = 123.17 × 49.66
  4. Step 4: Simplify right side
    82.16x = 6,117.04
  5. Step 5: Solve for x
    x = 6,117.04/82.16
  6. Step 6: Final answer
    x = 74.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.