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Finding the Fourth Proportional to 97.53, 146.36 and 51.86

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Solution

The fourth proportional to 97.53, 146.36 and 51.86 is: 77.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.53 : 146.36 = 51.86 : x
  2. Step 2: Convert to fraction form
    97.53/146.36 = 51.86/x
  3. Step 3: Cross multiply
    97.53x = 146.36 × 51.86
  4. Step 4: Simplify right side
    97.53x = 7,590.23
  5. Step 5: Solve for x
    x = 7,590.23/97.53
  6. Step 6: Final answer
    x = 77.82

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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.