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Finding the Fourth Proportional to 76.05, 114.02 and 53.16

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Solution

The fourth proportional to 76.05, 114.02 and 53.16 is: 79.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.05 : 114.02 = 53.16 : x
  2. Step 2: Convert to fraction form
    76.05/114.02 = 53.16/x
  3. Step 3: Cross multiply
    76.05x = 114.02 × 53.16
  4. Step 4: Simplify right side
    76.05x = 6,061.30
  5. Step 5: Solve for x
    x = 6,061.30/76.05
  6. Step 6: Final answer
    x = 79.70

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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.