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Finding the Fourth Proportional to 72.42, 108.54 and 52.20

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Solution

The fourth proportional to 72.42, 108.54 and 52.20 is: 78.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.42 : 108.54 = 52.20 : x
  2. Step 2: Convert to fraction form
    72.42/108.54 = 52.20/x
  3. Step 3: Cross multiply
    72.42x = 108.54 × 52.20
  4. Step 4: Simplify right side
    72.42x = 5,665.79
  5. Step 5: Solve for x
    x = 5,665.79/72.42
  6. Step 6: Final answer
    x = 78.24

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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.