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Finding the Fourth Proportional to 72.46, 108.80 and 52.16

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Solution

The fourth proportional to 72.46, 108.80 and 52.16 is: 78.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.46 : 108.80 = 52.16 : x
  2. Step 2: Convert to fraction form
    72.46/108.80 = 52.16/x
  3. Step 3: Cross multiply
    72.46x = 108.80 × 52.16
  4. Step 4: Simplify right side
    72.46x = 5,674.75
  5. Step 5: Solve for x
    x = 5,674.75/72.46
  6. Step 6: Final answer
    x = 78.32

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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.