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Finding the Fourth Proportional to 49.60, 68.52 and 42.40

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Solution

The fourth proportional to 49.60, 68.52 and 42.40 is: 58.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.60 : 68.52 = 42.40 : x
  2. Step 2: Convert to fraction form
    49.60/68.52 = 42.40/x
  3. Step 3: Cross multiply
    49.60x = 68.52 × 42.40
  4. Step 4: Simplify right side
    49.60x = 2,905.25
  5. Step 5: Solve for x
    x = 2,905.25/49.60
  6. Step 6: Final answer
    x = 58.57

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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.