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Finding the Fourth Proportional to 106.53, 159.53 and 65.84

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Solution

The fourth proportional to 106.53, 159.53 and 65.84 is: 98.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.53 : 159.53 = 65.84 : x
  2. Step 2: Convert to fraction form
    106.53/159.53 = 65.84/x
  3. Step 3: Cross multiply
    106.53x = 159.53 × 65.84
  4. Step 4: Simplify right side
    106.53x = 10,502.33
  5. Step 5: Solve for x
    x = 10,502.33/106.53
  6. Step 6: Final answer
    x = 98.59

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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.