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Finding the Fourth Proportional to 97.11, 145.77 and 45.78

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Solution

The fourth proportional to 97.11, 145.77 and 45.78 is: 68.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.11 : 145.77 = 45.78 : x
  2. Step 2: Convert to fraction form
    97.11/145.77 = 45.78/x
  3. Step 3: Cross multiply
    97.11x = 145.77 × 45.78
  4. Step 4: Simplify right side
    97.11x = 6,672.63
  5. Step 5: Solve for x
    x = 6,672.63/97.11
  6. Step 6: Final answer
    x = 68.71

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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.