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Finding the Fourth Proportional to 152.17, 209.77 and 107.77

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Solution

The fourth proportional to 152.17, 209.77 and 107.77 is: 148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.17 : 209.77 = 107.77 : x
  2. Step 2: Convert to fraction form
    152.17/209.77 = 107.77/x
  3. Step 3: Cross multiply
    152.17x = 209.77 × 107.77
  4. Step 4: Simplify right side
    152.17x = 22,606.12
  5. Step 5: Solve for x
    x = 22,606.12/152.17
  6. Step 6: Final answer
    x = 148.56

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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.