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Finding the Fourth Proportional to 106.62, 147.89 and 102.30

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Solution

The fourth proportional to 106.62, 147.89 and 102.30 is: 141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.62 : 147.89 = 102.30 : x
  2. Step 2: Convert to fraction form
    106.62/147.89 = 102.30/x
  3. Step 3: Cross multiply
    106.62x = 147.89 × 102.30
  4. Step 4: Simplify right side
    106.62x = 15,128.64
  5. Step 5: Solve for x
    x = 15,128.64/106.62
  6. Step 6: Final answer
    x = 141.89

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.