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Finding the Fourth Proportional to 100.13, 137.93 and 75.53

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Solution

The fourth proportional to 100.13, 137.93 and 75.53 is: 104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.13 : 137.93 = 75.53 : x
  2. Step 2: Convert to fraction form
    100.13/137.93 = 75.53/x
  3. Step 3: Cross multiply
    100.13x = 137.93 × 75.53
  4. Step 4: Simplify right side
    100.13x = 10,417.82
  5. Step 5: Solve for x
    x = 10,417.82/100.13
  6. Step 6: Final answer
    x = 104.05

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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.