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Finding the Fourth Proportional to 105.17, 156.74 and 102.26

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Solution

The fourth proportional to 105.17, 156.74 and 102.26 is: 152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.17 : 156.74 = 102.26 : x
  2. Step 2: Convert to fraction form
    105.17/156.74 = 102.26/x
  3. Step 3: Cross multiply
    105.17x = 156.74 × 102.26
  4. Step 4: Simplify right side
    105.17x = 16,028.11
  5. Step 5: Solve for x
    x = 16,028.11/105.17
  6. Step 6: Final answer
    x = 152.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.