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Finding the Fourth Proportional to 155.98, 234.06 and 101.90

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Solution

The fourth proportional to 155.98, 234.06 and 101.90 is: 152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.98 : 234.06 = 101.90 : x
  2. Step 2: Convert to fraction form
    155.98/234.06 = 101.90/x
  3. Step 3: Cross multiply
    155.98x = 234.06 × 101.90
  4. Step 4: Simplify right side
    155.98x = 23,850.71
  5. Step 5: Solve for x
    x = 23,850.71/155.98
  6. Step 6: Final answer
    x = 152.91

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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.