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Finding the Fourth Proportional to 102.43, 141.35 and 55.80

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Solution

The fourth proportional to 102.43, 141.35 and 55.80 is: 77.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.43 : 141.35 = 55.80 : x
  2. Step 2: Convert to fraction form
    102.43/141.35 = 55.80/x
  3. Step 3: Cross multiply
    102.43x = 141.35 × 55.80
  4. Step 4: Simplify right side
    102.43x = 7,887.10
  5. Step 5: Solve for x
    x = 7,887.10/102.43
  6. Step 6: Final answer
    x = 77.00

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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.