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Finding the Fourth Proportional to 102.14, 153.74 and 92.72

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Solution

The fourth proportional to 102.14, 153.74 and 92.72 is: 139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.14 : 153.74 = 92.72 : x
  2. Step 2: Convert to fraction form
    102.14/153.74 = 92.72/x
  3. Step 3: Cross multiply
    102.14x = 153.74 × 92.72
  4. Step 4: Simplify right side
    102.14x = 14,254.69
  5. Step 5: Solve for x
    x = 14,254.69/102.14
  6. Step 6: Final answer
    x = 139.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.