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Finding the Fourth Proportional to 76.53, 105.66 and 52.01

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Solution

The fourth proportional to 76.53, 105.66 and 52.01 is: 71.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.53 : 105.66 = 52.01 : x
  2. Step 2: Convert to fraction form
    76.53/105.66 = 52.01/x
  3. Step 3: Cross multiply
    76.53x = 105.66 × 52.01
  4. Step 4: Simplify right side
    76.53x = 5,495.38
  5. Step 5: Solve for x
    x = 5,495.38/76.53
  6. Step 6: Final answer
    x = 71.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.