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Finding the Fourth Proportional to 35.66, 49.14 and 31.75

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Solution

The fourth proportional to 35.66, 49.14 and 31.75 is: 43.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.66 : 49.14 = 31.75 : x
  2. Step 2: Convert to fraction form
    35.66/49.14 = 31.75/x
  3. Step 3: Cross multiply
    35.66x = 49.14 × 31.75
  4. Step 4: Simplify right side
    35.66x = 1,560.07
  5. Step 5: Solve for x
    x = 1,560.07/35.66
  6. Step 6: Final answer
    x = 43.75

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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.