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Finding the Fourth Proportional to 98.16, 148.02 and 84

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Solution

The fourth proportional to 98.16, 148.02 and 84 is: 126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.16 : 148.02 = 84 : x
  2. Step 2: Convert to fraction form
    98.16/148.02 = 84/x
  3. Step 3: Cross multiply
    98.16x = 148.02 × 84
  4. Step 4: Simplify right side
    98.16x = 12,433.68
  5. Step 5: Solve for x
    x = 12,433.68/98.16
  6. Step 6: Final answer
    x = 126.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.