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Finding the Fourth Proportional to 97.86, 135.36 and 90.98

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Solution

The fourth proportional to 97.86, 135.36 and 90.98 is: 125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.86 : 135.36 = 90.98 : x
  2. Step 2: Convert to fraction form
    97.86/135.36 = 90.98/x
  3. Step 3: Cross multiply
    97.86x = 135.36 × 90.98
  4. Step 4: Simplify right side
    97.86x = 12,314.38
  5. Step 5: Solve for x
    x = 12,314.38/97.86
  6. Step 6: Final answer
    x = 125.84

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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.