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Finding the Fourth Proportional to 71.52, 98.64 and 56.58

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Solution

The fourth proportional to 71.52, 98.64 and 56.58 is: 78.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.52 : 98.64 = 56.58 : x
  2. Step 2: Convert to fraction form
    71.52/98.64 = 56.58/x
  3. Step 3: Cross multiply
    71.52x = 98.64 × 56.58
  4. Step 4: Simplify right side
    71.52x = 5,581.05
  5. Step 5: Solve for x
    x = 5,581.05/71.52
  6. Step 6: Final answer
    x = 78.03

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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.