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Finding the Fourth Proportional to 106.60, 159.66 and 65.40

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Solution

The fourth proportional to 106.60, 159.66 and 65.40 is: 97.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.60 : 159.66 = 65.40 : x
  2. Step 2: Convert to fraction form
    106.60/159.66 = 65.40/x
  3. Step 3: Cross multiply
    106.60x = 159.66 × 65.40
  4. Step 4: Simplify right side
    106.60x = 10,441.76
  5. Step 5: Solve for x
    x = 10,441.76/106.60
  6. Step 6: Final answer
    x = 97.95

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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.