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Finding the Fourth Proportional to 107.49, 160.30 and 101.10

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Solution

The fourth proportional to 107.49, 160.30 and 101.10 is: 150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.49 : 160.30 = 101.10 : x
  2. Step 2: Convert to fraction form
    107.49/160.30 = 101.10/x
  3. Step 3: Cross multiply
    107.49x = 160.30 × 101.10
  4. Step 4: Simplify right side
    107.49x = 16,205.82
  5. Step 5: Solve for x
    x = 16,205.82/107.49
  6. Step 6: Final answer
    x = 150.77

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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.