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Finding the Fourth Proportional to 98.16, 135.39 and 64.93

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Solution

The fourth proportional to 98.16, 135.39 and 64.93 is: 89.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.16 : 135.39 = 64.93 : x
  2. Step 2: Convert to fraction form
    98.16/135.39 = 64.93/x
  3. Step 3: Cross multiply
    98.16x = 135.39 × 64.93
  4. Step 4: Simplify right side
    98.16x = 8,790.87
  5. Step 5: Solve for x
    x = 8,790.87/98.16
  6. Step 6: Final answer
    x = 89.56

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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.