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Finding the Fourth Proportional to 155.06, 214.08 and 134.29

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Solution

The fourth proportional to 155.06, 214.08 and 134.29 is: 185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.06 : 214.08 = 134.29 : x
  2. Step 2: Convert to fraction form
    155.06/214.08 = 134.29/x
  3. Step 3: Cross multiply
    155.06x = 214.08 × 134.29
  4. Step 4: Simplify right side
    155.06x = 28,748.57
  5. Step 5: Solve for x
    x = 28,748.57/155.06
  6. Step 6: Final answer
    x = 185.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.