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Finding the Fourth Proportional to 72.12, 99.39 and 54.57

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Solution

The fourth proportional to 72.12, 99.39 and 54.57 is: 75.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.12 : 99.39 = 54.57 : x
  2. Step 2: Convert to fraction form
    72.12/99.39 = 54.57/x
  3. Step 3: Cross multiply
    72.12x = 99.39 × 54.57
  4. Step 4: Simplify right side
    72.12x = 5,423.71
  5. Step 5: Solve for x
    x = 5,423.71/72.12
  6. Step 6: Final answer
    x = 75.20

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Why These Related Problems?

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