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Finding the Fourth Proportional to 148.86, 205.16 and 116.06

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Solution

The fourth proportional to 148.86, 205.16 and 116.06 is: 159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.86 : 205.16 = 116.06 : x
  2. Step 2: Convert to fraction form
    148.86/205.16 = 116.06/x
  3. Step 3: Cross multiply
    148.86x = 205.16 × 116.06
  4. Step 4: Simplify right side
    148.86x = 23,810.87
  5. Step 5: Solve for x
    x = 23,810.87/148.86
  6. Step 6: Final answer
    x = 159.95

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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.