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Finding the Fourth Proportional to 82.66, 124.14 and 78.40

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Solution

The fourth proportional to 82.66, 124.14 and 78.40 is: 117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.66 : 124.14 = 78.40 : x
  2. Step 2: Convert to fraction form
    82.66/124.14 = 78.40/x
  3. Step 3: Cross multiply
    82.66x = 124.14 × 78.40
  4. Step 4: Simplify right side
    82.66x = 9,732.58
  5. Step 5: Solve for x
    x = 9,732.58/82.66
  6. Step 6: Final answer
    x = 117.74

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Why These Related Problems?

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