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Finding the Fourth Proportional to 97.84, 134.98 and 62.86

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Solution

The fourth proportional to 97.84, 134.98 and 62.86 is: 86.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.84 : 134.98 = 62.86 : x
  2. Step 2: Convert to fraction form
    97.84/134.98 = 62.86/x
  3. Step 3: Cross multiply
    97.84x = 134.98 × 62.86
  4. Step 4: Simplify right side
    97.84x = 8,484.53
  5. Step 5: Solve for x
    x = 8,484.53/97.84
  6. Step 6: Final answer
    x = 86.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.