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Finding the Fourth Proportional to 107.03, 160.64 and 49.32

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Solution

The fourth proportional to 107.03, 160.64 and 49.32 is: 74.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.03 : 160.64 = 49.32 : x
  2. Step 2: Convert to fraction form
    107.03/160.64 = 49.32/x
  3. Step 3: Cross multiply
    107.03x = 160.64 × 49.32
  4. Step 4: Simplify right side
    107.03x = 7,922.70
  5. Step 5: Solve for x
    x = 7,922.70/107.03
  6. Step 6: Final answer
    x = 74.02

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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.