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Finding the Fourth Proportional to 110.69, 152.93 and 77.45

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Solution

The fourth proportional to 110.69, 152.93 and 77.45 is: 107.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.69 : 152.93 = 77.45 : x
  2. Step 2: Convert to fraction form
    110.69/152.93 = 77.45/x
  3. Step 3: Cross multiply
    110.69x = 152.93 × 77.45
  4. Step 4: Simplify right side
    110.69x = 11,843.28
  5. Step 5: Solve for x
    x = 11,843.28/110.69
  6. Step 6: Final answer
    x = 107.00

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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.