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Finding the Fourth Proportional to 100.50, 138.53 and 70.94

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Solution

The fourth proportional to 100.50, 138.53 and 70.94 is: 97.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.50 : 138.53 = 70.94 : x
  2. Step 2: Convert to fraction form
    100.50/138.53 = 70.94/x
  3. Step 3: Cross multiply
    100.50x = 138.53 × 70.94
  4. Step 4: Simplify right side
    100.50x = 9,826.27
  5. Step 5: Solve for x
    x = 9,826.27/100.50
  6. Step 6: Final answer
    x = 97.77

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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.