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Finding the Fourth Proportional to 170.64, 255.65 and 102.24

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Solution

The fourth proportional to 170.64, 255.65 and 102.24 is: 153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.64 : 255.65 = 102.24 : x
  2. Step 2: Convert to fraction form
    170.64/255.65 = 102.24/x
  3. Step 3: Cross multiply
    170.64x = 255.65 × 102.24
  4. Step 4: Simplify right side
    170.64x = 26,137.14
  5. Step 5: Solve for x
    x = 26,137.14/170.64
  6. Step 6: Final answer
    x = 153.17

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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.