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Finding the Fourth Proportional to 72.81, 101.04 and 70.26

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Solution

The fourth proportional to 72.81, 101.04 and 70.26 is: 97.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.81 : 101.04 = 70.26 : x
  2. Step 2: Convert to fraction form
    72.81/101.04 = 70.26/x
  3. Step 3: Cross multiply
    72.81x = 101.04 × 70.26
  4. Step 4: Simplify right side
    72.81x = 7,099.07
  5. Step 5: Solve for x
    x = 7,099.07/72.81
  6. Step 6: Final answer
    x = 97.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.