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Finding the Fourth Proportional to 107.02, 160.23 and 89.71

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Solution

The fourth proportional to 107.02, 160.23 and 89.71 is: 134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.02 : 160.23 = 89.71 : x
  2. Step 2: Convert to fraction form
    107.02/160.23 = 89.71/x
  3. Step 3: Cross multiply
    107.02x = 160.23 × 89.71
  4. Step 4: Simplify right side
    107.02x = 14,373.66
  5. Step 5: Solve for x
    x = 14,373.66/107.02
  6. Step 6: Final answer
    x = 134.31

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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.