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Finding the Fourth Proportional to 114.23, 157.34 and 105.58

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Solution

The fourth proportional to 114.23, 157.34 and 105.58 is: 145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.23 : 157.34 = 105.58 : x
  2. Step 2: Convert to fraction form
    114.23/157.34 = 105.58/x
  3. Step 3: Cross multiply
    114.23x = 157.34 × 105.58
  4. Step 4: Simplify right side
    114.23x = 16,610.64
  5. Step 5: Solve for x
    x = 16,610.64/114.23
  6. Step 6: Final answer
    x = 145.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.