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Finding the Fourth Proportional to 107.64, 147.48 and 106.29

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Solution

The fourth proportional to 107.64, 147.48 and 106.29 is: 145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.64 : 147.48 = 106.29 : x
  2. Step 2: Convert to fraction form
    107.64/147.48 = 106.29/x
  3. Step 3: Cross multiply
    107.64x = 147.48 × 106.29
  4. Step 4: Simplify right side
    107.64x = 15,675.25
  5. Step 5: Solve for x
    x = 15,675.25/107.64
  6. Step 6: Final answer
    x = 145.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.