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Finding the Fourth Proportional to 107.77, 148.76 and 104.35

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Solution

The fourth proportional to 107.77, 148.76 and 104.35 is: 144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.77 : 148.76 = 104.35 : x
  2. Step 2: Convert to fraction form
    107.77/148.76 = 104.35/x
  3. Step 3: Cross multiply
    107.77x = 148.76 × 104.35
  4. Step 4: Simplify right side
    107.77x = 15,523.11
  5. Step 5: Solve for x
    x = 15,523.11/107.77
  6. Step 6: Final answer
    x = 144.04

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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.