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Finding the Fourth Proportional to 135.07, 185.09 and 130.01

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Solution

The fourth proportional to 135.07, 185.09 and 130.01 is: 178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.07 : 185.09 = 130.01 : x
  2. Step 2: Convert to fraction form
    135.07/185.09 = 130.01/x
  3. Step 3: Cross multiply
    135.07x = 185.09 × 130.01
  4. Step 4: Simplify right side
    135.07x = 24,061.98
  5. Step 5: Solve for x
    x = 24,061.98/135.07
  6. Step 6: Final answer
    x = 178.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.