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Finding the Fourth Proportional to 64.84, 97.78 and 56.92

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Solution

The fourth proportional to 64.84, 97.78 and 56.92 is: 85.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.84 : 97.78 = 56.92 : x
  2. Step 2: Convert to fraction form
    64.84/97.78 = 56.92/x
  3. Step 3: Cross multiply
    64.84x = 97.78 × 56.92
  4. Step 4: Simplify right side
    64.84x = 5,565.64
  5. Step 5: Solve for x
    x = 5,565.64/64.84
  6. Step 6: Final answer
    x = 85.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.