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Finding the Fourth Proportional to 113.91, 170.14 and 103.06

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Solution

The fourth proportional to 113.91, 170.14 and 103.06 is: 153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.91 : 170.14 = 103.06 : x
  2. Step 2: Convert to fraction form
    113.91/170.14 = 103.06/x
  3. Step 3: Cross multiply
    113.91x = 170.14 × 103.06
  4. Step 4: Simplify right side
    113.91x = 17,534.63
  5. Step 5: Solve for x
    x = 17,534.63/113.91
  6. Step 6: Final answer
    x = 153.93

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