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Finding the Fourth Proportional to 158.99, 219.35 and 106.58

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Solution

The fourth proportional to 158.99, 219.35 and 106.58 is: 147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.99 : 219.35 = 106.58 : x
  2. Step 2: Convert to fraction form
    158.99/219.35 = 106.58/x
  3. Step 3: Cross multiply
    158.99x = 219.35 × 106.58
  4. Step 4: Simplify right side
    158.99x = 23,379.14
  5. Step 5: Solve for x
    x = 23,379.14/158.99
  6. Step 6: Final answer
    x = 147.05

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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.