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Finding the Fourth Proportional to 38.55, 53.14 and 31.63

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Solution

The fourth proportional to 38.55, 53.14 and 31.63 is: 43.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.55 : 53.14 = 31.63 : x
  2. Step 2: Convert to fraction form
    38.55/53.14 = 31.63/x
  3. Step 3: Cross multiply
    38.55x = 53.14 × 31.63
  4. Step 4: Simplify right side
    38.55x = 1,680.82
  5. Step 5: Solve for x
    x = 1,680.82/38.55
  6. Step 6: Final answer
    x = 43.60

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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.