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Finding the Fourth Proportional to 143.08, 197.54 and 90.65

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Solution

The fourth proportional to 143.08, 197.54 and 90.65 is: 125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.08 : 197.54 = 90.65 : x
  2. Step 2: Convert to fraction form
    143.08/197.54 = 90.65/x
  3. Step 3: Cross multiply
    143.08x = 197.54 × 90.65
  4. Step 4: Simplify right side
    143.08x = 17,907.00
  5. Step 5: Solve for x
    x = 17,907.00/143.08
  6. Step 6: Final answer
    x = 125.15

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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.