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Finding the Fourth Proportional to 90.88, 136.36 and 78.14

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Solution

The fourth proportional to 90.88, 136.36 and 78.14 is: 117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.88 : 136.36 = 78.14 : x
  2. Step 2: Convert to fraction form
    90.88/136.36 = 78.14/x
  3. Step 3: Cross multiply
    90.88x = 136.36 × 78.14
  4. Step 4: Simplify right side
    90.88x = 10,655.17
  5. Step 5: Solve for x
    x = 10,655.17/90.88
  6. Step 6: Final answer
    x = 117.24

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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.