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Finding the Fourth Proportional to 98.70, 148.03 and 64.46

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Solution

The fourth proportional to 98.70, 148.03 and 64.46 is: 96.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.70 : 148.03 = 64.46 : x
  2. Step 2: Convert to fraction form
    98.70/148.03 = 64.46/x
  3. Step 3: Cross multiply
    98.70x = 148.03 × 64.46
  4. Step 4: Simplify right side
    98.70x = 9,542.01
  5. Step 5: Solve for x
    x = 9,542.01/98.70
  6. Step 6: Final answer
    x = 96.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.