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Finding the Fourth Proportional to 102.64, 141.64 and 56.01

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Solution

The fourth proportional to 102.64, 141.64 and 56.01 is: 77.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.64 : 141.64 = 56.01 : x
  2. Step 2: Convert to fraction form
    102.64/141.64 = 56.01/x
  3. Step 3: Cross multiply
    102.64x = 141.64 × 56.01
  4. Step 4: Simplify right side
    102.64x = 7,933.12
  5. Step 5: Solve for x
    x = 7,933.12/102.64
  6. Step 6: Final answer
    x = 77.29

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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.