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Finding the Fourth Proportional to 73.40, 101.38 and 70.42

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Solution

The fourth proportional to 73.40, 101.38 and 70.42 is: 97.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.40 : 101.38 = 70.42 : x
  2. Step 2: Convert to fraction form
    73.40/101.38 = 70.42/x
  3. Step 3: Cross multiply
    73.40x = 101.38 × 70.42
  4. Step 4: Simplify right side
    73.40x = 7,139.18
  5. Step 5: Solve for x
    x = 7,139.18/73.40
  6. Step 6: Final answer
    x = 97.26

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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.