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Finding the Fourth Proportional to 72.42, 108.63 and 29.10

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Solution

The fourth proportional to 72.42, 108.63 and 29.10 is: 43.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.42 : 108.63 = 29.10 : x
  2. Step 2: Convert to fraction form
    72.42/108.63 = 29.10/x
  3. Step 3: Cross multiply
    72.42x = 108.63 × 29.10
  4. Step 4: Simplify right side
    72.42x = 3,161.13
  5. Step 5: Solve for x
    x = 3,161.13/72.42
  6. Step 6: Final answer
    x = 43.65

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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.