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Finding the Fourth Proportional to 108.84, 150.24 and 106.08

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Solution

The fourth proportional to 108.84, 150.24 and 106.08 is: 146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.84 : 150.24 = 106.08 : x
  2. Step 2: Convert to fraction form
    108.84/150.24 = 106.08/x
  3. Step 3: Cross multiply
    108.84x = 150.24 × 106.08
  4. Step 4: Simplify right side
    108.84x = 15,937.46
  5. Step 5: Solve for x
    x = 15,937.46/108.84
  6. Step 6: Final answer
    x = 146.43

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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.