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Finding the Fourth Proportional to 35.41, 52.85 and 31.59

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Solution

The fourth proportional to 35.41, 52.85 and 31.59 is: 47.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.41 : 52.85 = 31.59 : x
  2. Step 2: Convert to fraction form
    35.41/52.85 = 31.59/x
  3. Step 3: Cross multiply
    35.41x = 52.85 × 31.59
  4. Step 4: Simplify right side
    35.41x = 1,669.53
  5. Step 5: Solve for x
    x = 1,669.53/35.41
  6. Step 6: Final answer
    x = 47.15

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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.