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Finding the Fourth Proportional to 71.06, 106.63 and 40.68

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Solution

The fourth proportional to 71.06, 106.63 and 40.68 is: 61.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.06 : 106.63 = 40.68 : x
  2. Step 2: Convert to fraction form
    71.06/106.63 = 40.68/x
  3. Step 3: Cross multiply
    71.06x = 106.63 × 40.68
  4. Step 4: Simplify right side
    71.06x = 4,337.61
  5. Step 5: Solve for x
    x = 4,337.61/71.06
  6. Step 6: Final answer
    x = 61.05

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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.