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Finding the Fourth Proportional to 97.14, 145.78 and 50.82

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Solution

The fourth proportional to 97.14, 145.78 and 50.82 is: 76.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.14 : 145.78 = 50.82 : x
  2. Step 2: Convert to fraction form
    97.14/145.78 = 50.82/x
  3. Step 3: Cross multiply
    97.14x = 145.78 × 50.82
  4. Step 4: Simplify right side
    97.14x = 7,407.81
  5. Step 5: Solve for x
    x = 7,407.81/97.14
  6. Step 6: Final answer
    x = 76.26

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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.