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Finding the Fourth Proportional to 31.90, 47.58 and 29.28

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Solution

The fourth proportional to 31.90, 47.58 and 29.28 is: 43.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.90 : 47.58 = 29.28 : x
  2. Step 2: Convert to fraction form
    31.90/47.58 = 29.28/x
  3. Step 3: Cross multiply
    31.90x = 47.58 × 29.28
  4. Step 4: Simplify right side
    31.90x = 1,393.14
  5. Step 5: Solve for x
    x = 1,393.14/31.90
  6. Step 6: Final answer
    x = 43.67

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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.