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Finding the Fourth Proportional to 144.64, 216.60 and 98.86

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Solution

The fourth proportional to 144.64, 216.60 and 98.86 is: 148.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.64 : 216.60 = 98.86 : x
  2. Step 2: Convert to fraction form
    144.64/216.60 = 98.86/x
  3. Step 3: Cross multiply
    144.64x = 216.60 × 98.86
  4. Step 4: Simplify right side
    144.64x = 21,413.08
  5. Step 5: Solve for x
    x = 21,413.08/144.64
  6. Step 6: Final answer
    x = 148.04

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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.