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Finding the Fourth Proportional to 76.58, 114.69 and 74.30

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Solution

The fourth proportional to 76.58, 114.69 and 74.30 is: 111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.58 : 114.69 = 74.30 : x
  2. Step 2: Convert to fraction form
    76.58/114.69 = 74.30/x
  3. Step 3: Cross multiply
    76.58x = 114.69 × 74.30
  4. Step 4: Simplify right side
    76.58x = 8,521.47
  5. Step 5: Solve for x
    x = 8,521.47/76.58
  6. Step 6: Final answer
    x = 111.28

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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.