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Finding the Fourth Proportional to 100.02, 138.04 and 55.77

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Solution

The fourth proportional to 100.02, 138.04 and 55.77 is: 76.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.02 : 138.04 = 55.77 : x
  2. Step 2: Convert to fraction form
    100.02/138.04 = 55.77/x
  3. Step 3: Cross multiply
    100.02x = 138.04 × 55.77
  4. Step 4: Simplify right side
    100.02x = 7,697.52
  5. Step 5: Solve for x
    x = 7,697.52/100.02
  6. Step 6: Final answer
    x = 76.96

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