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Finding the Fourth Proportional to 90.95, 136.43 and 47.66

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Solution

The fourth proportional to 90.95, 136.43 and 47.66 is: 71.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.95 : 136.43 = 47.66 : x
  2. Step 2: Convert to fraction form
    90.95/136.43 = 47.66/x
  3. Step 3: Cross multiply
    90.95x = 136.43 × 47.66
  4. Step 4: Simplify right side
    90.95x = 6,501.33
  5. Step 5: Solve for x
    x = 6,501.33/90.95
  6. Step 6: Final answer
    x = 71.49

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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.