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Finding the Fourth Proportional to 32.15, 48.01 and 26.69

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Solution

The fourth proportional to 32.15, 48.01 and 26.69 is: 39.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.15 : 48.01 = 26.69 : x
  2. Step 2: Convert to fraction form
    32.15/48.01 = 26.69/x
  3. Step 3: Cross multiply
    32.15x = 48.01 × 26.69
  4. Step 4: Simplify right side
    32.15x = 1,281.13
  5. Step 5: Solve for x
    x = 1,281.13/32.15
  6. Step 6: Final answer
    x = 39.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.