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Finding the Fourth Proportional to 60.34, 83.17 and 49.40

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Solution

The fourth proportional to 60.34, 83.17 and 49.40 is: 68.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.34 : 83.17 = 49.40 : x
  2. Step 2: Convert to fraction form
    60.34/83.17 = 49.40/x
  3. Step 3: Cross multiply
    60.34x = 83.17 × 49.40
  4. Step 4: Simplify right side
    60.34x = 4,108.81
  5. Step 5: Solve for x
    x = 4,108.81/60.34
  6. Step 6: Final answer
    x = 68.10

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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.