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Finding the Fourth Proportional to 71.20, 106.70 and 53.14

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Solution

The fourth proportional to 71.20, 106.70 and 53.14 is: 79.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.20 : 106.70 = 53.14 : x
  2. Step 2: Convert to fraction form
    71.20/106.70 = 53.14/x
  3. Step 3: Cross multiply
    71.20x = 106.70 × 53.14
  4. Step 4: Simplify right side
    71.20x = 5,670.04
  5. Step 5: Solve for x
    x = 5,670.04/71.20
  6. Step 6: Final answer
    x = 79.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.