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Finding the Fourth Proportional to 102.09, 152.90 and 74.60

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Solution

The fourth proportional to 102.09, 152.90 and 74.60 is: 111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.09 : 152.90 = 74.60 : x
  2. Step 2: Convert to fraction form
    102.09/152.90 = 74.60/x
  3. Step 3: Cross multiply
    102.09x = 152.90 × 74.60
  4. Step 4: Simplify right side
    102.09x = 11,406.34
  5. Step 5: Solve for x
    x = 11,406.34/102.09
  6. Step 6: Final answer
    x = 111.73

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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.