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Finding the Fourth Proportional to 107.46, 160.72 and 64.02

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Solution

The fourth proportional to 107.46, 160.72 and 64.02 is: 95.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.46 : 160.72 = 64.02 : x
  2. Step 2: Convert to fraction form
    107.46/160.72 = 64.02/x
  3. Step 3: Cross multiply
    107.46x = 160.72 × 64.02
  4. Step 4: Simplify right side
    107.46x = 10,289.29
  5. Step 5: Solve for x
    x = 10,289.29/107.46
  6. Step 6: Final answer
    x = 95.75

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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.