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Finding the Fourth Proportional to 106.04, 159.36 and 77.19

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Solution

The fourth proportional to 106.04, 159.36 and 77.19 is: 116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.04 : 159.36 = 77.19 : x
  2. Step 2: Convert to fraction form
    106.04/159.36 = 77.19/x
  3. Step 3: Cross multiply
    106.04x = 159.36 × 77.19
  4. Step 4: Simplify right side
    106.04x = 12,301.00
  5. Step 5: Solve for x
    x = 12,301.00/106.04
  6. Step 6: Final answer
    x = 116.01

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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.