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Finding the Fourth Proportional to 64.67, 97.59 and 64.35

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Solution

The fourth proportional to 64.67, 97.59 and 64.35 is: 97.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.67 : 97.59 = 64.35 : x
  2. Step 2: Convert to fraction form
    64.67/97.59 = 64.35/x
  3. Step 3: Cross multiply
    64.67x = 97.59 × 64.35
  4. Step 4: Simplify right side
    64.67x = 6,279.92
  5. Step 5: Solve for x
    x = 6,279.92/64.67
  6. Step 6: Final answer
    x = 97.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.