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Finding the Fourth Proportional to 97.18, 145.64 and 53.86

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Solution

The fourth proportional to 97.18, 145.64 and 53.86 is: 80.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.18 : 145.64 = 53.86 : x
  2. Step 2: Convert to fraction form
    97.18/145.64 = 53.86/x
  3. Step 3: Cross multiply
    97.18x = 145.64 × 53.86
  4. Step 4: Simplify right side
    97.18x = 7,844.47
  5. Step 5: Solve for x
    x = 7,844.47/97.18
  6. Step 6: Final answer
    x = 80.72

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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.