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Finding the Fourth Proportional to 72.25, 108.35 and 24.14

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Solution

The fourth proportional to 72.25, 108.35 and 24.14 is: 36.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.25 : 108.35 = 24.14 : x
  2. Step 2: Convert to fraction form
    72.25/108.35 = 24.14/x
  3. Step 3: Cross multiply
    72.25x = 108.35 × 24.14
  4. Step 4: Simplify right side
    72.25x = 2,615.72
  5. Step 5: Solve for x
    x = 2,615.72/72.25
  6. Step 6: Final answer
    x = 36.20

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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.