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Finding the Fourth Proportional to 106.09, 159.13 and 52.02

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Solution

The fourth proportional to 106.09, 159.13 and 52.02 is: 78.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.09 : 159.13 = 52.02 : x
  2. Step 2: Convert to fraction form
    106.09/159.13 = 52.02/x
  3. Step 3: Cross multiply
    106.09x = 159.13 × 52.02
  4. Step 4: Simplify right side
    106.09x = 8,277.94
  5. Step 5: Solve for x
    x = 8,277.94/106.09
  6. Step 6: Final answer
    x = 78.03

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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.