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Finding the Fourth Proportional to 98.51, 135.88 and 70.83

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Solution

The fourth proportional to 98.51, 135.88 and 70.83 is: 97.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.51 : 135.88 = 70.83 : x
  2. Step 2: Convert to fraction form
    98.51/135.88 = 70.83/x
  3. Step 3: Cross multiply
    98.51x = 135.88 × 70.83
  4. Step 4: Simplify right side
    98.51x = 9,624.20
  5. Step 5: Solve for x
    x = 9,624.20/98.51
  6. Step 6: Final answer
    x = 97.70

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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.