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Finding the Fourth Proportional to 135.75, 187.40 and 84.03

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Solution

The fourth proportional to 135.75, 187.40 and 84.03 is: 116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.75 : 187.40 = 84.03 : x
  2. Step 2: Convert to fraction form
    135.75/187.40 = 84.03/x
  3. Step 3: Cross multiply
    135.75x = 187.40 × 84.03
  4. Step 4: Simplify right side
    135.75x = 15,746.80
  5. Step 5: Solve for x
    x = 15,746.80/135.75
  6. Step 6: Final answer
    x = 116.00

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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.