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Finding the Fourth Proportional to 107.49, 160.95 and 90.24

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Solution

The fourth proportional to 107.49, 160.95 and 90.24 is: 135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.49 : 160.95 = 90.24 : x
  2. Step 2: Convert to fraction form
    107.49/160.95 = 90.24/x
  3. Step 3: Cross multiply
    107.49x = 160.95 × 90.24
  4. Step 4: Simplify right side
    107.49x = 14,524.13
  5. Step 5: Solve for x
    x = 14,524.13/107.49
  6. Step 6: Final answer
    x = 135.12

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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.