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Finding the Fourth Proportional to 95.98, 132.44 and 56.64

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Solution

The fourth proportional to 95.98, 132.44 and 56.64 is: 78.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.98 : 132.44 = 56.64 : x
  2. Step 2: Convert to fraction form
    95.98/132.44 = 56.64/x
  3. Step 3: Cross multiply
    95.98x = 132.44 × 56.64
  4. Step 4: Simplify right side
    95.98x = 7,501.40
  5. Step 5: Solve for x
    x = 7,501.40/95.98
  6. Step 6: Final answer
    x = 78.16

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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.