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Finding the Fourth Proportional to 98.24, 146.58 and 97.67

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Solution

The fourth proportional to 98.24, 146.58 and 97.67 is: 145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.24 : 146.58 = 97.67 : x
  2. Step 2: Convert to fraction form
    98.24/146.58 = 97.67/x
  3. Step 3: Cross multiply
    98.24x = 146.58 × 97.67
  4. Step 4: Simplify right side
    98.24x = 14,315.74
  5. Step 5: Solve for x
    x = 14,315.74/98.24
  6. Step 6: Final answer
    x = 145.73

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