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Finding the Fourth Proportional to 235.95, 354.10 and 105.90

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Solution

The fourth proportional to 235.95, 354.10 and 105.90 is: 158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.95 : 354.10 = 105.90 : x
  2. Step 2: Convert to fraction form
    235.95/354.10 = 105.90/x
  3. Step 3: Cross multiply
    235.95x = 354.10 × 105.90
  4. Step 4: Simplify right side
    235.95x = 37,499.19
  5. Step 5: Solve for x
    x = 37,499.19/235.95
  6. Step 6: Final answer
    x = 158.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.