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Finding the Fourth Proportional to 32.31, 48.14 and 31.77

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Solution

The fourth proportional to 32.31, 48.14 and 31.77 is: 47.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.31 : 48.14 = 31.77 : x
  2. Step 2: Convert to fraction form
    32.31/48.14 = 31.77/x
  3. Step 3: Cross multiply
    32.31x = 48.14 × 31.77
  4. Step 4: Simplify right side
    32.31x = 1,529.49
  5. Step 5: Solve for x
    x = 1,529.49/32.31
  6. Step 6: Final answer
    x = 47.34

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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.