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Finding the Fourth Proportional to 51.68, 71.32 and 32

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Solution

The fourth proportional to 51.68, 71.32 and 32 is: 44.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.68 : 71.32 = 32 : x
  2. Step 2: Convert to fraction form
    51.68/71.32 = 32/x
  3. Step 3: Cross multiply
    51.68x = 71.32 × 32
  4. Step 4: Simplify right side
    51.68x = 2,282.24
  5. Step 5: Solve for x
    x = 2,282.24/51.68
  6. Step 6: Final answer
    x = 44.16

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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.