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Finding the Fourth Proportional to 67.04, 100.52 and 38.16

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Solution

The fourth proportional to 67.04, 100.52 and 38.16 is: 57.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.04 : 100.52 = 38.16 : x
  2. Step 2: Convert to fraction form
    67.04/100.52 = 38.16/x
  3. Step 3: Cross multiply
    67.04x = 100.52 × 38.16
  4. Step 4: Simplify right side
    67.04x = 3,835.84
  5. Step 5: Solve for x
    x = 3,835.84/67.04
  6. Step 6: Final answer
    x = 57.22

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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.