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Finding the Fourth Proportional to 97.93, 135.13 and 56.48

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Solution

The fourth proportional to 97.93, 135.13 and 56.48 is: 77.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.93 : 135.13 = 56.48 : x
  2. Step 2: Convert to fraction form
    97.93/135.13 = 56.48/x
  3. Step 3: Cross multiply
    97.93x = 135.13 × 56.48
  4. Step 4: Simplify right side
    97.93x = 7,631.94
  5. Step 5: Solve for x
    x = 7,631.94/97.93
  6. Step 6: Final answer
    x = 77.93

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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.