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Finding the Fourth Proportional to 47.34, 65.30 and 31.77

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Solution

The fourth proportional to 47.34, 65.30 and 31.77 is: 43.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.34 : 65.30 = 31.77 : x
  2. Step 2: Convert to fraction form
    47.34/65.30 = 31.77/x
  3. Step 3: Cross multiply
    47.34x = 65.30 × 31.77
  4. Step 4: Simplify right side
    47.34x = 2,074.81
  5. Step 5: Solve for x
    x = 2,074.81/47.34
  6. Step 6: Final answer
    x = 43.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.