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Finding the Fourth Proportional to 108.02, 162.22 and 74

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Solution

The fourth proportional to 108.02, 162.22 and 74 is: 111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.02 : 162.22 = 74 : x
  2. Step 2: Convert to fraction form
    108.02/162.22 = 74/x
  3. Step 3: Cross multiply
    108.02x = 162.22 × 74
  4. Step 4: Simplify right side
    108.02x = 12,004.28
  5. Step 5: Solve for x
    x = 12,004.28/108.02
  6. Step 6: Final answer
    x = 111.13

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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.