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Finding the Fourth Proportional to 105.23, 157.01 and 95.04

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Solution

The fourth proportional to 105.23, 157.01 and 95.04 is: 141.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.23 : 157.01 = 95.04 : x
  2. Step 2: Convert to fraction form
    105.23/157.01 = 95.04/x
  3. Step 3: Cross multiply
    105.23x = 157.01 × 95.04
  4. Step 4: Simplify right side
    105.23x = 14,921.76
  5. Step 5: Solve for x
    x = 14,921.76/105.23
  6. Step 6: Final answer
    x = 141.80

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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.