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Finding the Fourth Proportional to 37.48, 55.98 and 30.64

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Solution

The fourth proportional to 37.48, 55.98 and 30.64 is: 45.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.48 : 55.98 = 30.64 : x
  2. Step 2: Convert to fraction form
    37.48/55.98 = 30.64/x
  3. Step 3: Cross multiply
    37.48x = 55.98 × 30.64
  4. Step 4: Simplify right side
    37.48x = 1,715.42
  5. Step 5: Solve for x
    x = 1,715.42/37.48
  6. Step 6: Final answer
    x = 45.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.