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Finding the Fourth Proportional to 154.56, 212.65 and 133.77

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Solution

The fourth proportional to 154.56, 212.65 and 133.77 is: 184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.56 : 212.65 = 133.77 : x
  2. Step 2: Convert to fraction form
    154.56/212.65 = 133.77/x
  3. Step 3: Cross multiply
    154.56x = 212.65 × 133.77
  4. Step 4: Simplify right side
    154.56x = 28,446.19
  5. Step 5: Solve for x
    x = 28,446.19/154.56
  6. Step 6: Final answer
    x = 184.05

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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.