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Finding the Fourth Proportional to 174.08, 240.23 and 100.40

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Solution

The fourth proportional to 174.08, 240.23 and 100.40 is: 138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.08 : 240.23 = 100.40 : x
  2. Step 2: Convert to fraction form
    174.08/240.23 = 100.40/x
  3. Step 3: Cross multiply
    174.08x = 240.23 × 100.40
  4. Step 4: Simplify right side
    174.08x = 24,118.82
  5. Step 5: Solve for x
    x = 24,118.82/174.08
  6. Step 6: Final answer
    x = 138.55

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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.