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Finding the Fourth Proportional to 75.16, 112.78 and 51.06

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Solution

The fourth proportional to 75.16, 112.78 and 51.06 is: 76.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.16 : 112.78 = 51.06 : x
  2. Step 2: Convert to fraction form
    75.16/112.78 = 51.06/x
  3. Step 3: Cross multiply
    75.16x = 112.78 × 51.06
  4. Step 4: Simplify right side
    75.16x = 5,758.55
  5. Step 5: Solve for x
    x = 5,758.55/75.16
  6. Step 6: Final answer
    x = 76.62

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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.