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Finding the Fourth Proportional to 134.64, 185.80 and 84.84

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Solution

The fourth proportional to 134.64, 185.80 and 84.84 is: 117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.64 : 185.80 = 84.84 : x
  2. Step 2: Convert to fraction form
    134.64/185.80 = 84.84/x
  3. Step 3: Cross multiply
    134.64x = 185.80 × 84.84
  4. Step 4: Simplify right side
    134.64x = 15,763.27
  5. Step 5: Solve for x
    x = 15,763.27/134.64
  6. Step 6: Final answer
    x = 117.08

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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.