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Finding the Fourth Proportional to 90.21, 124.25 and 77.93

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Solution

The fourth proportional to 90.21, 124.25 and 77.93 is: 107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.21 : 124.25 = 77.93 : x
  2. Step 2: Convert to fraction form
    90.21/124.25 = 77.93/x
  3. Step 3: Cross multiply
    90.21x = 124.25 × 77.93
  4. Step 4: Simplify right side
    90.21x = 9,682.26
  5. Step 5: Solve for x
    x = 9,682.26/90.21
  6. Step 6: Final answer
    x = 107.33

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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.