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Finding the Fourth Proportional to 107.31, 160.57 and 64.00

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Solution

The fourth proportional to 107.31, 160.57 and 64.00 is: 95.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.31 : 160.57 = 64.00 : x
  2. Step 2: Convert to fraction form
    107.31/160.57 = 64.00/x
  3. Step 3: Cross multiply
    107.31x = 160.57 × 64.00
  4. Step 4: Simplify right side
    107.31x = 10,277.00
  5. Step 5: Solve for x
    x = 10,277.00/107.31
  6. Step 6: Final answer
    x = 95.77

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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.