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Finding the Fourth Proportional to 135.25, 202.77 and 70.16

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Solution

The fourth proportional to 135.25, 202.77 and 70.16 is: 105.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.25 : 202.77 = 70.16 : x
  2. Step 2: Convert to fraction form
    135.25/202.77 = 70.16/x
  3. Step 3: Cross multiply
    135.25x = 202.77 × 70.16
  4. Step 4: Simplify right side
    135.25x = 14,226.47
  5. Step 5: Solve for x
    x = 14,226.47/135.25
  6. Step 6: Final answer
    x = 105.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.