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Finding the Fourth Proportional to 71.60, 107.08 and 56.34

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Solution

The fourth proportional to 71.60, 107.08 and 56.34 is: 84.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.60 : 107.08 = 56.34 : x
  2. Step 2: Convert to fraction form
    71.60/107.08 = 56.34/x
  3. Step 3: Cross multiply
    71.60x = 107.08 × 56.34
  4. Step 4: Simplify right side
    71.60x = 6,032.75
  5. Step 5: Solve for x
    x = 6,032.75/71.60
  6. Step 6: Final answer
    x = 84.26

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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.