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Finding the Fourth Proportional to 108.04, 150.10 and 106.76

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Solution

The fourth proportional to 108.04, 150.10 and 106.76 is: 148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.04 : 150.10 = 106.76 : x
  2. Step 2: Convert to fraction form
    108.04/150.10 = 106.76/x
  3. Step 3: Cross multiply
    108.04x = 150.10 × 106.76
  4. Step 4: Simplify right side
    108.04x = 16,024.68
  5. Step 5: Solve for x
    x = 16,024.68/108.04
  6. Step 6: Final answer
    x = 148.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.