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Finding the Fourth Proportional to 107.44, 160.28 and 102.40

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Solution

The fourth proportional to 107.44, 160.28 and 102.40 is: 152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.44 : 160.28 = 102.40 : x
  2. Step 2: Convert to fraction form
    107.44/160.28 = 102.40/x
  3. Step 3: Cross multiply
    107.44x = 160.28 × 102.40
  4. Step 4: Simplify right side
    107.44x = 16,412.67
  5. Step 5: Solve for x
    x = 16,412.67/107.44
  6. Step 6: Final answer
    x = 152.76

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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.