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Finding the Fourth Proportional to 133.01, 199.58 and 72.07

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Solution

The fourth proportional to 133.01, 199.58 and 72.07 is: 108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.01 : 199.58 = 72.07 : x
  2. Step 2: Convert to fraction form
    133.01/199.58 = 72.07/x
  3. Step 3: Cross multiply
    133.01x = 199.58 × 72.07
  4. Step 4: Simplify right side
    133.01x = 14,383.37
  5. Step 5: Solve for x
    x = 14,383.37/133.01
  6. Step 6: Final answer
    x = 108.14

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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.