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Finding the Fourth Proportional to 32.96, 49.51 and 26.62

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Solution

The fourth proportional to 32.96, 49.51 and 26.62 is: 39.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.96 : 49.51 = 26.62 : x
  2. Step 2: Convert to fraction form
    32.96/49.51 = 26.62/x
  3. Step 3: Cross multiply
    32.96x = 49.51 × 26.62
  4. Step 4: Simplify right side
    32.96x = 1,317.80
  5. Step 5: Solve for x
    x = 1,317.80/32.96
  6. Step 6: Final answer
    x = 39.99

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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.