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Finding the Fourth Proportional to 101.16, 139.47 and 76.53

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Solution

The fourth proportional to 101.16, 139.47 and 76.53 is: 105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.16 : 139.47 = 76.53 : x
  2. Step 2: Convert to fraction form
    101.16/139.47 = 76.53/x
  3. Step 3: Cross multiply
    101.16x = 139.47 × 76.53
  4. Step 4: Simplify right side
    101.16x = 10,673.64
  5. Step 5: Solve for x
    x = 10,673.64/101.16
  6. Step 6: Final answer
    x = 105.51

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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.