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Finding the Fourth Proportional to 109.04, 162.58 and 105.09

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Solution

The fourth proportional to 109.04, 162.58 and 105.09 is: 156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.04 : 162.58 = 105.09 : x
  2. Step 2: Convert to fraction form
    109.04/162.58 = 105.09/x
  3. Step 3: Cross multiply
    109.04x = 162.58 × 105.09
  4. Step 4: Simplify right side
    109.04x = 17,084.72
  5. Step 5: Solve for x
    x = 17,084.72/109.04
  6. Step 6: Final answer
    x = 156.69

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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.