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Finding the Fourth Proportional to 107.51, 148.99 and 105.46

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Solution

The fourth proportional to 107.51, 148.99 and 105.46 is: 146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.51 : 148.99 = 105.46 : x
  2. Step 2: Convert to fraction form
    107.51/148.99 = 105.46/x
  3. Step 3: Cross multiply
    107.51x = 148.99 × 105.46
  4. Step 4: Simplify right side
    107.51x = 15,711.85
  5. Step 5: Solve for x
    x = 15,711.85/107.51
  6. Step 6: Final answer
    x = 146.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.