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Finding the Fourth Proportional to 108.24, 149.52 and 86.40

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Solution

The fourth proportional to 108.24, 149.52 and 86.40 is: 119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.24 : 149.52 = 86.40 : x
  2. Step 2: Convert to fraction form
    108.24/149.52 = 86.40/x
  3. Step 3: Cross multiply
    108.24x = 149.52 × 86.40
  4. Step 4: Simplify right side
    108.24x = 12,918.53
  5. Step 5: Solve for x
    x = 12,918.53/108.24
  6. Step 6: Final answer
    x = 119.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.