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Finding the Fourth Proportional to 107.02, 147.51 and 82.45

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Solution

The fourth proportional to 107.02, 147.51 and 82.45 is: 113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.02 : 147.51 = 82.45 : x
  2. Step 2: Convert to fraction form
    107.02/147.51 = 82.45/x
  3. Step 3: Cross multiply
    107.02x = 147.51 × 82.45
  4. Step 4: Simplify right side
    107.02x = 12,162.20
  5. Step 5: Solve for x
    x = 12,162.20/107.02
  6. Step 6: Final answer
    x = 113.64

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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.