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Finding the Fourth Proportional to 97.50, 145.22 and 92.36

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Solution

The fourth proportional to 97.50, 145.22 and 92.36 is: 137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.50 : 145.22 = 92.36 : x
  2. Step 2: Convert to fraction form
    97.50/145.22 = 92.36/x
  3. Step 3: Cross multiply
    97.50x = 145.22 × 92.36
  4. Step 4: Simplify right side
    97.50x = 13,412.52
  5. Step 5: Solve for x
    x = 13,412.52/97.50
  6. Step 6: Final answer
    x = 137.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.