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Finding the Fourth Proportional to 135.60, 185.58 and 134.16

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Solution

The fourth proportional to 135.60, 185.58 and 134.16 is: 183.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.60 : 185.58 = 134.16 : x
  2. Step 2: Convert to fraction form
    135.60/185.58 = 134.16/x
  3. Step 3: Cross multiply
    135.60x = 185.58 × 134.16
  4. Step 4: Simplify right side
    135.60x = 24,897.41
  5. Step 5: Solve for x
    x = 24,897.41/135.60
  6. Step 6: Final answer
    x = 183.61

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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.