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Finding the Fourth Proportional to 107.84, 162.53 and 97.58

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Solution

The fourth proportional to 107.84, 162.53 and 97.58 is: 147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.84 : 162.53 = 97.58 : x
  2. Step 2: Convert to fraction form
    107.84/162.53 = 97.58/x
  3. Step 3: Cross multiply
    107.84x = 162.53 × 97.58
  4. Step 4: Simplify right side
    107.84x = 15,859.68
  5. Step 5: Solve for x
    x = 15,859.68/107.84
  6. Step 6: Final answer
    x = 147.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.