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Finding the Fourth Proportional to 108.66, 149.58 and 88.92

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Solution

The fourth proportional to 108.66, 149.58 and 88.92 is: 122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.66 : 149.58 = 88.92 : x
  2. Step 2: Convert to fraction form
    108.66/149.58 = 88.92/x
  3. Step 3: Cross multiply
    108.66x = 149.58 × 88.92
  4. Step 4: Simplify right side
    108.66x = 13,300.65
  5. Step 5: Solve for x
    x = 13,300.65/108.66
  6. Step 6: Final answer
    x = 122.41

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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.