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Finding the Fourth Proportional to 97.65, 145.82 and 85.50

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Solution

The fourth proportional to 97.65, 145.82 and 85.50 is: 127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.65 : 145.82 = 85.50 : x
  2. Step 2: Convert to fraction form
    97.65/145.82 = 85.50/x
  3. Step 3: Cross multiply
    97.65x = 145.82 × 85.50
  4. Step 4: Simplify right side
    97.65x = 12,467.82
  5. Step 5: Solve for x
    x = 12,467.82/97.65
  6. Step 6: Final answer
    x = 127.68

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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.