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Finding the Fourth Proportional to 107.02, 148.45 and 104.22

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Solution

The fourth proportional to 107.02, 148.45 and 104.22 is: 144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.02 : 148.45 = 104.22 : x
  2. Step 2: Convert to fraction form
    107.02/148.45 = 104.22/x
  3. Step 3: Cross multiply
    107.02x = 148.45 × 104.22
  4. Step 4: Simplify right side
    107.02x = 15,471.46
  5. Step 5: Solve for x
    x = 15,471.46/107.02
  6. Step 6: Final answer
    x = 144.57

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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.