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Finding the Fourth Proportional to 105.78, 145.98 and 102.36

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Solution

The fourth proportional to 105.78, 145.98 and 102.36 is: 141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.78 : 145.98 = 102.36 : x
  2. Step 2: Convert to fraction form
    105.78/145.98 = 102.36/x
  3. Step 3: Cross multiply
    105.78x = 145.98 × 102.36
  4. Step 4: Simplify right side
    105.78x = 14,942.51
  5. Step 5: Solve for x
    x = 14,942.51/105.78
  6. Step 6: Final answer
    x = 141.26

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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.