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Finding the Fourth Proportional to 108.42, 162.29 and 71.78

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Solution

The fourth proportional to 108.42, 162.29 and 71.78 is: 107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.42 : 162.29 = 71.78 : x
  2. Step 2: Convert to fraction form
    108.42/162.29 = 71.78/x
  3. Step 3: Cross multiply
    108.42x = 162.29 × 71.78
  4. Step 4: Simplify right side
    108.42x = 11,649.22
  5. Step 5: Solve for x
    x = 11,649.22/108.42
  6. Step 6: Final answer
    x = 107.45

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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.