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Finding the Fourth Proportional to 108.10, 149.19 and 64.46

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Solution

The fourth proportional to 108.10, 149.19 and 64.46 is: 88.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.10 : 149.19 = 64.46 : x
  2. Step 2: Convert to fraction form
    108.10/149.19 = 64.46/x
  3. Step 3: Cross multiply
    108.10x = 149.19 × 64.46
  4. Step 4: Simplify right side
    108.10x = 9,616.04
  5. Step 5: Solve for x
    x = 9,616.04/108.10
  6. Step 6: Final answer
    x = 88.96

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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.