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Finding the Fourth Proportional to 71.55, 106.74 and 71.10

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Solution

The fourth proportional to 71.55, 106.74 and 71.10 is: 106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.55 : 106.74 = 71.10 : x
  2. Step 2: Convert to fraction form
    71.55/106.74 = 71.10/x
  3. Step 3: Cross multiply
    71.55x = 106.74 × 71.10
  4. Step 4: Simplify right side
    71.55x = 7,589.21
  5. Step 5: Solve for x
    x = 7,589.21/71.55
  6. Step 6: Final answer
    x = 106.07

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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.