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Finding the Fourth Proportional to 51.60, 77.42 and 21.17

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Solution

The fourth proportional to 51.60, 77.42 and 21.17 is: 31.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.60 : 77.42 = 21.17 : x
  2. Step 2: Convert to fraction form
    51.60/77.42 = 21.17/x
  3. Step 3: Cross multiply
    51.60x = 77.42 × 21.17
  4. Step 4: Simplify right side
    51.60x = 1,639.23
  5. Step 5: Solve for x
    x = 1,639.23/51.60
  6. Step 6: Final answer
    x = 31.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.