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Finding the Fourth Proportional to 106.15, 158.04 and 104.63

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Solution

The fourth proportional to 106.15, 158.04 and 104.63 is: 155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.15 : 158.04 = 104.63 : x
  2. Step 2: Convert to fraction form
    106.15/158.04 = 104.63/x
  3. Step 3: Cross multiply
    106.15x = 158.04 × 104.63
  4. Step 4: Simplify right side
    106.15x = 16,534.81
  5. Step 5: Solve for x
    x = 16,534.81/106.15
  6. Step 6: Final answer
    x = 155.77

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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.