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Finding the Fourth Proportional to 69.34, 103.51 and 64.59

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Solution

The fourth proportional to 69.34, 103.51 and 64.59 is: 96.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.34 : 103.51 = 64.59 : x
  2. Step 2: Convert to fraction form
    69.34/103.51 = 64.59/x
  3. Step 3: Cross multiply
    69.34x = 103.51 × 64.59
  4. Step 4: Simplify right side
    69.34x = 6,685.71
  5. Step 5: Solve for x
    x = 6,685.71/69.34
  6. Step 6: Final answer
    x = 96.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.