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Finding the Fourth Proportional to 100.77, 139.14 and 84.16

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Solution

The fourth proportional to 100.77, 139.14 and 84.16 is: 116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.77 : 139.14 = 84.16 : x
  2. Step 2: Convert to fraction form
    100.77/139.14 = 84.16/x
  3. Step 3: Cross multiply
    100.77x = 139.14 × 84.16
  4. Step 4: Simplify right side
    100.77x = 11,710.02
  5. Step 5: Solve for x
    x = 11,710.02/100.77
  6. Step 6: Final answer
    x = 116.21

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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.