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Finding the Fourth Proportional to 98.21, 135.53 and 56.77

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Solution

The fourth proportional to 98.21, 135.53 and 56.77 is: 78.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.21 : 135.53 = 56.77 : x
  2. Step 2: Convert to fraction form
    98.21/135.53 = 56.77/x
  3. Step 3: Cross multiply
    98.21x = 135.53 × 56.77
  4. Step 4: Simplify right side
    98.21x = 7,694.04
  5. Step 5: Solve for x
    x = 7,694.04/98.21
  6. Step 6: Final answer
    x = 78.34

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Why These Related Problems?

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