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Finding the Fourth Proportional to 174.04, 240.01 and 111.76

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Solution

The fourth proportional to 174.04, 240.01 and 111.76 is: 154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.04 : 240.01 = 111.76 : x
  2. Step 2: Convert to fraction form
    174.04/240.01 = 111.76/x
  3. Step 3: Cross multiply
    174.04x = 240.01 × 111.76
  4. Step 4: Simplify right side
    174.04x = 26,823.27
  5. Step 5: Solve for x
    x = 26,823.27/174.04
  6. Step 6: Final answer
    x = 154.12

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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.