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Finding the Fourth Proportional to 73.40, 109.40 and 71.19

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Solution

The fourth proportional to 73.40, 109.40 and 71.19 is: 106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.40 : 109.40 = 71.19 : x
  2. Step 2: Convert to fraction form
    73.40/109.40 = 71.19/x
  3. Step 3: Cross multiply
    73.40x = 109.40 × 71.19
  4. Step 4: Simplify right side
    73.40x = 7,787.83
  5. Step 5: Solve for x
    x = 7,787.83/73.40
  6. Step 6: Final answer
    x = 106.11

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Why These Related Problems?

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