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Finding the Fourth Proportional to 174.16, 240.35 and 100.46

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Solution

The fourth proportional to 174.16, 240.35 and 100.46 is: 138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.16 : 240.35 = 100.46 : x
  2. Step 2: Convert to fraction form
    174.16/240.35 = 100.46/x
  3. Step 3: Cross multiply
    174.16x = 240.35 × 100.46
  4. Step 4: Simplify right side
    174.16x = 24,145.06
  5. Step 5: Solve for x
    x = 24,145.06/174.16
  6. Step 6: Final answer
    x = 138.64

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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.