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Finding the Fourth Proportional to 98.32, 135.79 and 65.72

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Solution

The fourth proportional to 98.32, 135.79 and 65.72 is: 90.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.32 : 135.79 = 65.72 : x
  2. Step 2: Convert to fraction form
    98.32/135.79 = 65.72/x
  3. Step 3: Cross multiply
    98.32x = 135.79 × 65.72
  4. Step 4: Simplify right side
    98.32x = 8,924.12
  5. Step 5: Solve for x
    x = 8,924.12/98.32
  6. Step 6: Final answer
    x = 90.77

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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.