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Finding the Fourth Proportional to 135.47, 203.06 and 86.77

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Solution

The fourth proportional to 135.47, 203.06 and 86.77 is: 130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.47 : 203.06 = 86.77 : x
  2. Step 2: Convert to fraction form
    135.47/203.06 = 86.77/x
  3. Step 3: Cross multiply
    135.47x = 203.06 × 86.77
  4. Step 4: Simplify right side
    135.47x = 17,619.50
  5. Step 5: Solve for x
    x = 17,619.50/135.47
  6. Step 6: Final answer
    x = 130.06

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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.