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Finding the Fourth Proportional to 174.12, 260.74 and 101.76

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Solution

The fourth proportional to 174.12, 260.74 and 101.76 is: 152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.12 : 260.74 = 101.76 : x
  2. Step 2: Convert to fraction form
    174.12/260.74 = 101.76/x
  3. Step 3: Cross multiply
    174.12x = 260.74 × 101.76
  4. Step 4: Simplify right side
    174.12x = 26,532.90
  5. Step 5: Solve for x
    x = 26,532.90/174.12
  6. Step 6: Final answer
    x = 152.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.