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Finding the Fourth Proportional to 100.07, 138.03 and 72.50

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Solution

The fourth proportional to 100.07, 138.03 and 72.50 is: 100.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.07 : 138.03 = 72.50 : x
  2. Step 2: Convert to fraction form
    100.07/138.03 = 72.50/x
  3. Step 3: Cross multiply
    100.07x = 138.03 × 72.50
  4. Step 4: Simplify right side
    100.07x = 10,007.18
  5. Step 5: Solve for x
    x = 10,007.18/100.07
  6. Step 6: Final answer
    x = 100.00

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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.