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Finding the Fourth Proportional to 107.03, 160.59 and 46.20

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Solution

The fourth proportional to 107.03, 160.59 and 46.20 is: 69.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.03 : 160.59 = 46.20 : x
  2. Step 2: Convert to fraction form
    107.03/160.59 = 46.20/x
  3. Step 3: Cross multiply
    107.03x = 160.59 × 46.20
  4. Step 4: Simplify right side
    107.03x = 7,419.26
  5. Step 5: Solve for x
    x = 7,419.26/107.03
  6. Step 6: Final answer
    x = 69.32

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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.