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Finding the Fourth Proportional to 74.31, 102.51 and 70.94

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Solution

The fourth proportional to 74.31, 102.51 and 70.94 is: 97.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.31 : 102.51 = 70.94 : x
  2. Step 2: Convert to fraction form
    74.31/102.51 = 70.94/x
  3. Step 3: Cross multiply
    74.31x = 102.51 × 70.94
  4. Step 4: Simplify right side
    74.31x = 7,271.55
  5. Step 5: Solve for x
    x = 7,271.55/74.31
  6. Step 6: Final answer
    x = 97.85

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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.