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Finding the Fourth Proportional to 73.90, 102.14 and 70.17

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Solution

The fourth proportional to 73.90, 102.14 and 70.17 is: 96.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.90 : 102.14 = 70.17 : x
  2. Step 2: Convert to fraction form
    73.90/102.14 = 70.17/x
  3. Step 3: Cross multiply
    73.90x = 102.14 × 70.17
  4. Step 4: Simplify right side
    73.90x = 7,167.16
  5. Step 5: Solve for x
    x = 7,167.16/73.90
  6. Step 6: Final answer
    x = 96.98

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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.