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Finding the Fourth Proportional to 32.95, 49.40 and 13.70

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Solution

The fourth proportional to 32.95, 49.40 and 13.70 is: 20.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.95 : 49.40 = 13.70 : x
  2. Step 2: Convert to fraction form
    32.95/49.40 = 13.70/x
  3. Step 3: Cross multiply
    32.95x = 49.40 × 13.70
  4. Step 4: Simplify right side
    32.95x = 676.98
  5. Step 5: Solve for x
    x = 676.98/32.95
  6. Step 6: Final answer
    x = 20.55

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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.