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Finding the Fourth Proportional to 107.94, 161.89 and 101.58

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Solution

The fourth proportional to 107.94, 161.89 and 101.58 is: 152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.94 : 161.89 = 101.58 : x
  2. Step 2: Convert to fraction form
    107.94/161.89 = 101.58/x
  3. Step 3: Cross multiply
    107.94x = 161.89 × 101.58
  4. Step 4: Simplify right side
    107.94x = 16,444.79
  5. Step 5: Solve for x
    x = 16,444.79/107.94
  6. Step 6: Final answer
    x = 152.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.