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Finding the Fourth Proportional to 32.33, 48.47 and 13.07

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Solution

The fourth proportional to 32.33, 48.47 and 13.07 is: 19.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.33 : 48.47 = 13.07 : x
  2. Step 2: Convert to fraction form
    32.33/48.47 = 13.07/x
  3. Step 3: Cross multiply
    32.33x = 48.47 × 13.07
  4. Step 4: Simplify right side
    32.33x = 633.20
  5. Step 5: Solve for x
    x = 633.20/32.33
  6. Step 6: Final answer
    x = 19.58

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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.