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Finding the Fourth Proportional to 107.30, 148.07 and 74.63

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Solution

The fourth proportional to 107.30, 148.07 and 74.63 is: 102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.30 : 148.07 = 74.63 : x
  2. Step 2: Convert to fraction form
    107.30/148.07 = 74.63/x
  3. Step 3: Cross multiply
    107.30x = 148.07 × 74.63
  4. Step 4: Simplify right side
    107.30x = 11,049.35
  5. Step 5: Solve for x
    x = 11,049.35/107.30
  6. Step 6: Final answer
    x = 102.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.