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Finding the Fourth Proportional to 64.85, 97.05 and 64.70

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Solution

The fourth proportional to 64.85, 97.05 and 64.70 is: 96.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.85 : 97.05 = 64.70 : x
  2. Step 2: Convert to fraction form
    64.85/97.05 = 64.70/x
  3. Step 3: Cross multiply
    64.85x = 97.05 × 64.70
  4. Step 4: Simplify right side
    64.85x = 6,278.89
  5. Step 5: Solve for x
    x = 6,278.89/64.85
  6. Step 6: Final answer
    x = 96.82

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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.