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Finding the Fourth Proportional to 62.88, 94.56 and 55.20

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Solution

The fourth proportional to 62.88, 94.56 and 55.20 is: 83.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.88 : 94.56 = 55.20 : x
  2. Step 2: Convert to fraction form
    62.88/94.56 = 55.20/x
  3. Step 3: Cross multiply
    62.88x = 94.56 × 55.20
  4. Step 4: Simplify right side
    62.88x = 5,219.71
  5. Step 5: Solve for x
    x = 5,219.71/62.88
  6. Step 6: Final answer
    x = 83.01

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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.