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Finding the Fourth Proportional to 90.63, 125.02 and 78.16

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Solution

The fourth proportional to 90.63, 125.02 and 78.16 is: 107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.63 : 125.02 = 78.16 : x
  2. Step 2: Convert to fraction form
    90.63/125.02 = 78.16/x
  3. Step 3: Cross multiply
    90.63x = 125.02 × 78.16
  4. Step 4: Simplify right side
    90.63x = 9,771.58
  5. Step 5: Solve for x
    x = 9,771.58/90.63
  6. Step 6: Final answer
    x = 107.82

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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.