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Finding the Fourth Proportional to 176.61, 243.54 and 106.65

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Solution

The fourth proportional to 176.61, 243.54 and 106.65 is: 147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.61 : 243.54 = 106.65 : x
  2. Step 2: Convert to fraction form
    176.61/243.54 = 106.65/x
  3. Step 3: Cross multiply
    176.61x = 243.54 × 106.65
  4. Step 4: Simplify right side
    176.61x = 25,974.23
  5. Step 5: Solve for x
    x = 25,974.23/176.61
  6. Step 6: Final answer
    x = 147.07

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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.