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Finding the Fourth Proportional to 32.06, 48.14 and 31.58

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Solution

The fourth proportional to 32.06, 48.14 and 31.58 is: 47.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.06 : 48.14 = 31.58 : x
  2. Step 2: Convert to fraction form
    32.06/48.14 = 31.58/x
  3. Step 3: Cross multiply
    32.06x = 48.14 × 31.58
  4. Step 4: Simplify right side
    32.06x = 1,519.86
  5. Step 5: Solve for x
    x = 1,519.86/32.06
  6. Step 6: Final answer
    x = 47.41

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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.