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Finding the Fourth Proportional to 76.45, 114.48 and 56.14

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Solution

The fourth proportional to 76.45, 114.48 and 56.14 is: 84.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.45 : 114.48 = 56.14 : x
  2. Step 2: Convert to fraction form
    76.45/114.48 = 56.14/x
  3. Step 3: Cross multiply
    76.45x = 114.48 × 56.14
  4. Step 4: Simplify right side
    76.45x = 6,426.91
  5. Step 5: Solve for x
    x = 6,426.91/76.45
  6. Step 6: Final answer
    x = 84.07

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Why These Related Problems?

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