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Finding the Fourth Proportional to 51.83, 71.54 and 32.16

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Solution

The fourth proportional to 51.83, 71.54 and 32.16 is: 44.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.83 : 71.54 = 32.16 : x
  2. Step 2: Convert to fraction form
    51.83/71.54 = 32.16/x
  3. Step 3: Cross multiply
    51.83x = 71.54 × 32.16
  4. Step 4: Simplify right side
    51.83x = 2,300.73
  5. Step 5: Solve for x
    x = 2,300.73/51.83
  6. Step 6: Final answer
    x = 44.39

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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.