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Finding the Fourth Proportional to 98.91, 148.50 and 96.21

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Solution

The fourth proportional to 98.91, 148.50 and 96.21 is: 144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.91 : 148.50 = 96.21 : x
  2. Step 2: Convert to fraction form
    98.91/148.50 = 96.21/x
  3. Step 3: Cross multiply
    98.91x = 148.50 × 96.21
  4. Step 4: Simplify right side
    98.91x = 14,287.19
  5. Step 5: Solve for x
    x = 14,287.19/98.91
  6. Step 6: Final answer
    x = 144.45

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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.