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Finding the Fourth Proportional to 76.17, 105.10 and 51.64

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Solution

The fourth proportional to 76.17, 105.10 and 51.64 is: 71.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.17 : 105.10 = 51.64 : x
  2. Step 2: Convert to fraction form
    76.17/105.10 = 51.64/x
  3. Step 3: Cross multiply
    76.17x = 105.10 × 51.64
  4. Step 4: Simplify right side
    76.17x = 5,426.97
  5. Step 5: Solve for x
    x = 5,426.97/76.17
  6. Step 6: Final answer
    x = 71.25

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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.