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Finding the Fourth Proportional to 32.60, 48.83 and 22.47

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Solution

The fourth proportional to 32.60, 48.83 and 22.47 is: 33.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.60 : 48.83 = 22.47 : x
  2. Step 2: Convert to fraction form
    32.60/48.83 = 22.47/x
  3. Step 3: Cross multiply
    32.60x = 48.83 × 22.47
  4. Step 4: Simplify right side
    32.60x = 1,097.10
  5. Step 5: Solve for x
    x = 1,097.10/32.60
  6. Step 6: Final answer
    x = 33.66

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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.