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Finding the Fourth Proportional to 114.65, 158.05 and 75.77

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Solution

The fourth proportional to 114.65, 158.05 and 75.77 is: 104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.65 : 158.05 = 75.77 : x
  2. Step 2: Convert to fraction form
    114.65/158.05 = 75.77/x
  3. Step 3: Cross multiply
    114.65x = 158.05 × 75.77
  4. Step 4: Simplify right side
    114.65x = 11,974.47
  5. Step 5: Solve for x
    x = 11,974.47/114.65
  6. Step 6: Final answer
    x = 104.45

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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.