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Finding the Fourth Proportional to 32.14, 48.47 and 31.06

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Solution

The fourth proportional to 32.14, 48.47 and 31.06 is: 46.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.14 : 48.47 = 31.06 : x
  2. Step 2: Convert to fraction form
    32.14/48.47 = 31.06/x
  3. Step 3: Cross multiply
    32.14x = 48.47 × 31.06
  4. Step 4: Simplify right side
    32.14x = 1,505.48
  5. Step 5: Solve for x
    x = 1,505.48/32.14
  6. Step 6: Final answer
    x = 46.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.