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Finding the Fourth Proportional to 31.85, 48.03 and 29.35

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Solution

The fourth proportional to 31.85, 48.03 and 29.35 is: 44.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.85 : 48.03 = 29.35 : x
  2. Step 2: Convert to fraction form
    31.85/48.03 = 29.35/x
  3. Step 3: Cross multiply
    31.85x = 48.03 × 29.35
  4. Step 4: Simplify right side
    31.85x = 1,409.29
  5. Step 5: Solve for x
    x = 1,409.29/31.85
  6. Step 6: Final answer
    x = 44.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.