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Finding the Fourth Proportional to 105.04, 157.67 and 77.90

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Solution

The fourth proportional to 105.04, 157.67 and 77.90 is: 116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.04 : 157.67 = 77.90 : x
  2. Step 2: Convert to fraction form
    105.04/157.67 = 77.90/x
  3. Step 3: Cross multiply
    105.04x = 157.67 × 77.90
  4. Step 4: Simplify right side
    105.04x = 12,282.49
  5. Step 5: Solve for x
    x = 12,282.49/105.04
  6. Step 6: Final answer
    x = 116.93

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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.