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Finding the Fourth Proportional to 105, 156.64 and 101.26

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Solution

The fourth proportional to 105, 156.64 and 101.26 is: 151.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105 : 156.64 = 101.26 : x
  2. Step 2: Convert to fraction form
    105/156.64 = 101.26/x
  3. Step 3: Cross multiply
    105x = 156.64 × 101.26
  4. Step 4: Simplify right side
    105x = 15,861.37
  5. Step 5: Solve for x
    x = 15,861.37/105
  6. Step 6: Final answer
    x = 151.06

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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.