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Finding the Fourth Proportional to 102.94, 141.91 and 78.35

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Solution

The fourth proportional to 102.94, 141.91 and 78.35 is: 108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.94 : 141.91 = 78.35 : x
  2. Step 2: Convert to fraction form
    102.94/141.91 = 78.35/x
  3. Step 3: Cross multiply
    102.94x = 141.91 × 78.35
  4. Step 4: Simplify right side
    102.94x = 11,117.74
  5. Step 5: Solve for x
    x = 11,117.74/102.94
  6. Step 6: Final answer
    x = 108.00

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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.