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Finding the Fourth Proportional to 71.37, 106.89 and 56.03

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Solution

The fourth proportional to 71.37, 106.89 and 56.03 is: 83.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.37 : 106.89 = 56.03 : x
  2. Step 2: Convert to fraction form
    71.37/106.89 = 56.03/x
  3. Step 3: Cross multiply
    71.37x = 106.89 × 56.03
  4. Step 4: Simplify right side
    71.37x = 5,988.30
  5. Step 5: Solve for x
    x = 5,988.30/71.37
  6. Step 6: Final answer
    x = 83.91

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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.