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Finding the Fourth Proportional to 106.95, 159.33 and 103.08

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Solution

The fourth proportional to 106.95, 159.33 and 103.08 is: 153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.95 : 159.33 = 103.08 : x
  2. Step 2: Convert to fraction form
    106.95/159.33 = 103.08/x
  3. Step 3: Cross multiply
    106.95x = 159.33 × 103.08
  4. Step 4: Simplify right side
    106.95x = 16,423.74
  5. Step 5: Solve for x
    x = 16,423.74/106.95
  6. Step 6: Final answer
    x = 153.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.