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Finding the Fourth Proportional to 116.24, 159.98 and 110.77

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Solution

The fourth proportional to 116.24, 159.98 and 110.77 is: 152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.24 : 159.98 = 110.77 : x
  2. Step 2: Convert to fraction form
    116.24/159.98 = 110.77/x
  3. Step 3: Cross multiply
    116.24x = 159.98 × 110.77
  4. Step 4: Simplify right side
    116.24x = 17,720.03
  5. Step 5: Solve for x
    x = 17,720.03/116.24
  6. Step 6: Final answer
    x = 152.45

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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.