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Finding the Fourth Proportional to 55.06, 82.40 and 47.14

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Solution

The fourth proportional to 55.06, 82.40 and 47.14 is: 70.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.06 : 82.40 = 47.14 : x
  2. Step 2: Convert to fraction form
    55.06/82.40 = 47.14/x
  3. Step 3: Cross multiply
    55.06x = 82.40 × 47.14
  4. Step 4: Simplify right side
    55.06x = 3,884.34
  5. Step 5: Solve for x
    x = 3,884.34/55.06
  6. Step 6: Final answer
    x = 70.55

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Why These Related Problems?

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