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Finding the Fourth Proportional to 67.42, 100.90 and 48.16

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Solution

The fourth proportional to 67.42, 100.90 and 48.16 is: 72.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.42 : 100.90 = 48.16 : x
  2. Step 2: Convert to fraction form
    67.42/100.90 = 48.16/x
  3. Step 3: Cross multiply
    67.42x = 100.90 × 48.16
  4. Step 4: Simplify right side
    67.42x = 4,859.34
  5. Step 5: Solve for x
    x = 4,859.34/67.42
  6. Step 6: Final answer
    x = 72.08

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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.