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Finding the Fourth Proportional to 65.68, 97.98 and 62.80

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Solution

The fourth proportional to 65.68, 97.98 and 62.80 is: 93.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.68 : 97.98 = 62.80 : x
  2. Step 2: Convert to fraction form
    65.68/97.98 = 62.80/x
  3. Step 3: Cross multiply
    65.68x = 97.98 × 62.80
  4. Step 4: Simplify right side
    65.68x = 6,153.14
  5. Step 5: Solve for x
    x = 6,153.14/65.68
  6. Step 6: Final answer
    x = 93.68

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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.