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Finding the Fourth Proportional to 102.51, 153.81 and 51.14

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Solution

The fourth proportional to 102.51, 153.81 and 51.14 is: 76.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.51 : 153.81 = 51.14 : x
  2. Step 2: Convert to fraction form
    102.51/153.81 = 51.14/x
  3. Step 3: Cross multiply
    102.51x = 153.81 × 51.14
  4. Step 4: Simplify right side
    102.51x = 7,866.23
  5. Step 5: Solve for x
    x = 7,866.23/102.51
  6. Step 6: Final answer
    x = 76.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.