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Finding the Fourth Proportional to 114.22, 170.44 and 102.10

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Solution

The fourth proportional to 114.22, 170.44 and 102.10 is: 152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.22 : 170.44 = 102.10 : x
  2. Step 2: Convert to fraction form
    114.22/170.44 = 102.10/x
  3. Step 3: Cross multiply
    114.22x = 170.44 × 102.10
  4. Step 4: Simplify right side
    114.22x = 17,401.92
  5. Step 5: Solve for x
    x = 17,401.92/114.22
  6. Step 6: Final answer
    x = 152.35

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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.