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Finding the Fourth Proportional to 71.02, 97.80 and 54.68

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Solution

The fourth proportional to 71.02, 97.80 and 54.68 is: 75.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.02 : 97.80 = 54.68 : x
  2. Step 2: Convert to fraction form
    71.02/97.80 = 54.68/x
  3. Step 3: Cross multiply
    71.02x = 97.80 × 54.68
  4. Step 4: Simplify right side
    71.02x = 5,347.70
  5. Step 5: Solve for x
    x = 5,347.70/71.02
  6. Step 6: Final answer
    x = 75.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.