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Finding the Fourth Proportional to 135.72, 203.40 and 101.62

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Solution

The fourth proportional to 135.72, 203.40 and 101.62 is: 152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.72 : 203.40 = 101.62 : x
  2. Step 2: Convert to fraction form
    135.72/203.40 = 101.62/x
  3. Step 3: Cross multiply
    135.72x = 203.40 × 101.62
  4. Step 4: Simplify right side
    135.72x = 20,669.51
  5. Step 5: Solve for x
    x = 20,669.51/135.72
  6. Step 6: Final answer
    x = 152.30

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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.