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Finding the Fourth Proportional to 97.90, 146.97 and 65.98

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Solution

The fourth proportional to 97.90, 146.97 and 65.98 is: 99.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.90 : 146.97 = 65.98 : x
  2. Step 2: Convert to fraction form
    97.90/146.97 = 65.98/x
  3. Step 3: Cross multiply
    97.90x = 146.97 × 65.98
  4. Step 4: Simplify right side
    97.90x = 9,697.08
  5. Step 5: Solve for x
    x = 9,697.08/97.90
  6. Step 6: Final answer
    x = 99.05

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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.