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Finding the Fourth Proportional to 90.99, 136.52 and 30.14

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Solution

The fourth proportional to 90.99, 136.52 and 30.14 is: 45.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.99 : 136.52 = 30.14 : x
  2. Step 2: Convert to fraction form
    90.99/136.52 = 30.14/x
  3. Step 3: Cross multiply
    90.99x = 136.52 × 30.14
  4. Step 4: Simplify right side
    90.99x = 4,114.50
  5. Step 5: Solve for x
    x = 4,114.50/90.99
  6. Step 6: Final answer
    x = 45.22

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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.