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Finding the Fourth Proportional to 71.33, 106.40 and 61.79

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Solution

The fourth proportional to 71.33, 106.40 and 61.79 is: 92.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.33 : 106.40 = 61.79 : x
  2. Step 2: Convert to fraction form
    71.33/106.40 = 61.79/x
  3. Step 3: Cross multiply
    71.33x = 106.40 × 61.79
  4. Step 4: Simplify right side
    71.33x = 6,574.08
  5. Step 5: Solve for x
    x = 6,574.08/71.33
  6. Step 6: Final answer
    x = 92.17

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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.