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Finding the Fourth Proportional to 77.91, 106.95 and 74.40

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Solution

The fourth proportional to 77.91, 106.95 and 74.40 is: 102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.91 : 106.95 = 74.40 : x
  2. Step 2: Convert to fraction form
    77.91/106.95 = 74.40/x
  3. Step 3: Cross multiply
    77.91x = 106.95 × 74.40
  4. Step 4: Simplify right side
    77.91x = 7,957.08
  5. Step 5: Solve for x
    x = 7,957.08/77.91
  6. Step 6: Final answer
    x = 102.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.