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Finding the Fourth Proportional to 158.95, 219.35 and 96.77

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Solution

The fourth proportional to 158.95, 219.35 and 96.77 is: 133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.95 : 219.35 = 96.77 : x
  2. Step 2: Convert to fraction form
    158.95/219.35 = 96.77/x
  3. Step 3: Cross multiply
    158.95x = 219.35 × 96.77
  4. Step 4: Simplify right side
    158.95x = 21,226.02
  5. Step 5: Solve for x
    x = 21,226.02/158.95
  6. Step 6: Final answer
    x = 133.54

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Why These Related Problems?

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