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Finding the Fourth Proportional to 170.51, 256.11 and 102.17

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Solution

The fourth proportional to 170.51, 256.11 and 102.17 is: 153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.51 : 256.11 = 102.17 : x
  2. Step 2: Convert to fraction form
    170.51/256.11 = 102.17/x
  3. Step 3: Cross multiply
    170.51x = 256.11 × 102.17
  4. Step 4: Simplify right side
    170.51x = 26,166.76
  5. Step 5: Solve for x
    x = 26,166.76/170.51
  6. Step 6: Final answer
    x = 153.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.