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Finding the Fourth Proportional to 31.77, 43.76 and 23.58

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Solution

The fourth proportional to 31.77, 43.76 and 23.58 is: 32.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.77 : 43.76 = 23.58 : x
  2. Step 2: Convert to fraction form
    31.77/43.76 = 23.58/x
  3. Step 3: Cross multiply
    31.77x = 43.76 × 23.58
  4. Step 4: Simplify right side
    31.77x = 1,031.74
  5. Step 5: Solve for x
    x = 1,031.74/31.77
  6. Step 6: Final answer
    x = 32.48

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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.