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Finding the Fourth Proportional to 97.32, 145.67 and 51.60

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Solution

The fourth proportional to 97.32, 145.67 and 51.60 is: 77.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.32 : 145.67 = 51.60 : x
  2. Step 2: Convert to fraction form
    97.32/145.67 = 51.60/x
  3. Step 3: Cross multiply
    97.32x = 145.67 × 51.60
  4. Step 4: Simplify right side
    97.32x = 7,516.31
  5. Step 5: Solve for x
    x = 7,516.31/97.32
  6. Step 6: Final answer
    x = 77.24

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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.