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Finding the Fourth Proportional to 106.46, 159.53 and 65.76

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Solution

The fourth proportional to 106.46, 159.53 and 65.76 is: 98.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.46 : 159.53 = 65.76 : x
  2. Step 2: Convert to fraction form
    106.46/159.53 = 65.76/x
  3. Step 3: Cross multiply
    106.46x = 159.53 × 65.76
  4. Step 4: Simplify right side
    106.46x = 10,490.69
  5. Step 5: Solve for x
    x = 10,490.69/106.46
  6. Step 6: Final answer
    x = 98.54

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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.