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Finding the Fourth Proportional to 148.86, 205.20 and 93.60

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Solution

The fourth proportional to 148.86, 205.20 and 93.60 is: 129.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.86 : 205.20 = 93.60 : x
  2. Step 2: Convert to fraction form
    148.86/205.20 = 93.60/x
  3. Step 3: Cross multiply
    148.86x = 205.20 × 93.60
  4. Step 4: Simplify right side
    148.86x = 19,206.72
  5. Step 5: Solve for x
    x = 19,206.72/148.86
  6. Step 6: Final answer
    x = 129.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.