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Finding the Fourth Proportional to 107.30, 160.12 and 96.50

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Solution

The fourth proportional to 107.30, 160.12 and 96.50 is: 144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.30 : 160.12 = 96.50 : x
  2. Step 2: Convert to fraction form
    107.30/160.12 = 96.50/x
  3. Step 3: Cross multiply
    107.30x = 160.12 × 96.50
  4. Step 4: Simplify right side
    107.30x = 15,451.58
  5. Step 5: Solve for x
    x = 15,451.58/107.30
  6. Step 6: Final answer
    x = 144.00

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Why These Related Problems?

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