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Finding the Fourth Proportional to 147.16, 202.97 and 107.80

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Solution

The fourth proportional to 147.16, 202.97 and 107.80 is: 148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.16 : 202.97 = 107.80 : x
  2. Step 2: Convert to fraction form
    147.16/202.97 = 107.80/x
  3. Step 3: Cross multiply
    147.16x = 202.97 × 107.80
  4. Step 4: Simplify right side
    147.16x = 21,880.43
  5. Step 5: Solve for x
    x = 21,880.43/147.16
  6. Step 6: Final answer
    x = 148.69

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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.