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Finding the Fourth Proportional to 135.88, 187.72 and 135.02

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Solution

The fourth proportional to 135.88, 187.72 and 135.02 is: 186.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.88 : 187.72 = 135.02 : x
  2. Step 2: Convert to fraction form
    135.88/187.72 = 135.02/x
  3. Step 3: Cross multiply
    135.88x = 187.72 × 135.02
  4. Step 4: Simplify right side
    135.88x = 25,345.95
  5. Step 5: Solve for x
    x = 25,345.95/135.88
  6. Step 6: Final answer
    x = 186.53

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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.