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Finding the Fourth Proportional to 98.84, 147.01 and 96.12

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Solution

The fourth proportional to 98.84, 147.01 and 96.12 is: 142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.84 : 147.01 = 96.12 : x
  2. Step 2: Convert to fraction form
    98.84/147.01 = 96.12/x
  3. Step 3: Cross multiply
    98.84x = 147.01 × 96.12
  4. Step 4: Simplify right side
    98.84x = 14,130.60
  5. Step 5: Solve for x
    x = 14,130.60/98.84
  6. Step 6: Final answer
    x = 142.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.