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Finding the Fourth Proportional to 135.51, 202.76 and 106.40

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Solution

The fourth proportional to 135.51, 202.76 and 106.40 is: 159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.51 : 202.76 = 106.40 : x
  2. Step 2: Convert to fraction form
    135.51/202.76 = 106.40/x
  3. Step 3: Cross multiply
    135.51x = 202.76 × 106.40
  4. Step 4: Simplify right side
    135.51x = 21,573.66
  5. Step 5: Solve for x
    x = 21,573.66/135.51
  6. Step 6: Final answer
    x = 159.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.