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Finding the Fourth Proportional to 97.09, 145.72 and 51.47

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Solution

The fourth proportional to 97.09, 145.72 and 51.47 is: 77.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.09 : 145.72 = 51.47 : x
  2. Step 2: Convert to fraction form
    97.09/145.72 = 51.47/x
  3. Step 3: Cross multiply
    97.09x = 145.72 × 51.47
  4. Step 4: Simplify right side
    97.09x = 7,500.21
  5. Step 5: Solve for x
    x = 7,500.21/97.09
  6. Step 6: Final answer
    x = 77.25

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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.