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Finding the Fourth Proportional to 135.40, 185.93 and 128.84

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Solution

The fourth proportional to 135.40, 185.93 and 128.84 is: 176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.40 : 185.93 = 128.84 : x
  2. Step 2: Convert to fraction form
    135.40/185.93 = 128.84/x
  3. Step 3: Cross multiply
    135.40x = 185.93 × 128.84
  4. Step 4: Simplify right side
    135.40x = 23,955.22
  5. Step 5: Solve for x
    x = 23,955.22/135.40
  6. Step 6: Final answer
    x = 176.92

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