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Finding the Fourth Proportional to 107.64, 147.75 and 107.64

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Solution

The fourth proportional to 107.64, 147.75 and 107.64 is: 147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.64 : 147.75 = 107.64 : x
  2. Step 2: Convert to fraction form
    107.64/147.75 = 107.64/x
  3. Step 3: Cross multiply
    107.64x = 147.75 × 107.64
  4. Step 4: Simplify right side
    107.64x = 15,903.41
  5. Step 5: Solve for x
    x = 15,903.41/107.64
  6. Step 6: Final answer
    x = 147.75

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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.