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Finding the Fourth Proportional to 92.42, 138.76 and 46.78

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Solution

The fourth proportional to 92.42, 138.76 and 46.78 is: 70.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.42 : 138.76 = 46.78 : x
  2. Step 2: Convert to fraction form
    92.42/138.76 = 46.78/x
  3. Step 3: Cross multiply
    92.42x = 138.76 × 46.78
  4. Step 4: Simplify right side
    92.42x = 6,491.19
  5. Step 5: Solve for x
    x = 6,491.19/92.42
  6. Step 6: Final answer
    x = 70.24

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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.