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Finding the Fourth Proportional to 108.60, 149.70 and 106.30

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Solution

The fourth proportional to 108.60, 149.70 and 106.30 is: 146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.60 : 149.70 = 106.30 : x
  2. Step 2: Convert to fraction form
    108.60/149.70 = 106.30/x
  3. Step 3: Cross multiply
    108.60x = 149.70 × 106.30
  4. Step 4: Simplify right side
    108.60x = 15,913.11
  5. Step 5: Solve for x
    x = 15,913.11/108.60
  6. Step 6: Final answer
    x = 146.53

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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.