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Finding the Fourth Proportional to 107.19, 147.78 and 74.34

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Solution

The fourth proportional to 107.19, 147.78 and 74.34 is: 102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.19 : 147.78 = 74.34 : x
  2. Step 2: Convert to fraction form
    107.19/147.78 = 74.34/x
  3. Step 3: Cross multiply
    107.19x = 147.78 × 74.34
  4. Step 4: Simplify right side
    107.19x = 10,985.97
  5. Step 5: Solve for x
    x = 10,985.97/107.19
  6. Step 6: Final answer
    x = 102.49

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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.