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Finding the Fourth Proportional to 97.35, 145.82 and 64.74

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Solution

The fourth proportional to 97.35, 145.82 and 64.74 is: 96.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.35 : 145.82 = 64.74 : x
  2. Step 2: Convert to fraction form
    97.35/145.82 = 64.74/x
  3. Step 3: Cross multiply
    97.35x = 145.82 × 64.74
  4. Step 4: Simplify right side
    97.35x = 9,440.39
  5. Step 5: Solve for x
    x = 9,440.39/97.35
  6. Step 6: Final answer
    x = 96.97

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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.