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Finding the Fourth Proportional to 102.18, 154.05 and 86.34

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Solution

The fourth proportional to 102.18, 154.05 and 86.34 is: 130.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.18 : 154.05 = 86.34 : x
  2. Step 2: Convert to fraction form
    102.18/154.05 = 86.34/x
  3. Step 3: Cross multiply
    102.18x = 154.05 × 86.34
  4. Step 4: Simplify right side
    102.18x = 13,300.68
  5. Step 5: Solve for x
    x = 13,300.68/102.18
  6. Step 6: Final answer
    x = 130.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.