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Finding the Fourth Proportional to 144.07, 216.02 and 90

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Solution

The fourth proportional to 144.07, 216.02 and 90 is: 134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.07 : 216.02 = 90 : x
  2. Step 2: Convert to fraction form
    144.07/216.02 = 90/x
  3. Step 3: Cross multiply
    144.07x = 216.02 × 90
  4. Step 4: Simplify right side
    144.07x = 19,442.03
  5. Step 5: Solve for x
    x = 19,442.03/144.07
  6. Step 6: Final answer
    x = 134.95

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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.