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Finding the Fourth Proportional to 73.40, 101.14 and 61.16

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Solution

The fourth proportional to 73.40, 101.14 and 61.16 is: 84.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.40 : 101.14 = 61.16 : x
  2. Step 2: Convert to fraction form
    73.40/101.14 = 61.16/x
  3. Step 3: Cross multiply
    73.40x = 101.14 × 61.16
  4. Step 4: Simplify right side
    73.40x = 6,185.72
  5. Step 5: Solve for x
    x = 6,185.72/73.40
  6. Step 6: Final answer
    x = 84.27

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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.