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Finding the Fourth Proportional to 55.95, 84.03 and 47.40

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Solution

The fourth proportional to 55.95, 84.03 and 47.40 is: 71.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.95 : 84.03 = 47.40 : x
  2. Step 2: Convert to fraction form
    55.95/84.03 = 47.40/x
  3. Step 3: Cross multiply
    55.95x = 84.03 × 47.40
  4. Step 4: Simplify right side
    55.95x = 3,983.02
  5. Step 5: Solve for x
    x = 3,983.02/55.95
  6. Step 6: Final answer
    x = 71.19

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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.