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Finding the Fourth Proportional to 37.47, 51.71 and 21.10

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Solution

The fourth proportional to 37.47, 51.71 and 21.10 is: 29.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.47 : 51.71 = 21.10 : x
  2. Step 2: Convert to fraction form
    37.47/51.71 = 21.10/x
  3. Step 3: Cross multiply
    37.47x = 51.71 × 21.10
  4. Step 4: Simplify right side
    37.47x = 1,090.82
  5. Step 5: Solve for x
    x = 1,090.82/37.47
  6. Step 6: Final answer
    x = 29.11

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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.