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Finding the Fourth Proportional to 75.77, 113.61 and 45.35

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Solution

The fourth proportional to 75.77, 113.61 and 45.35 is: 68.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.77 : 113.61 = 45.35 : x
  2. Step 2: Convert to fraction form
    75.77/113.61 = 45.35/x
  3. Step 3: Cross multiply
    75.77x = 113.61 × 45.35
  4. Step 4: Simplify right side
    75.77x = 5,151.65
  5. Step 5: Solve for x
    x = 5,151.65/75.77
  6. Step 6: Final answer
    x = 68.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.