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Finding the Fourth Proportional to 74.32, 102.48 and 48.40

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Solution

The fourth proportional to 74.32, 102.48 and 48.40 is: 66.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.32 : 102.48 = 48.40 : x
  2. Step 2: Convert to fraction form
    74.32/102.48 = 48.40/x
  3. Step 3: Cross multiply
    74.32x = 102.48 × 48.40
  4. Step 4: Simplify right side
    74.32x = 4,960.03
  5. Step 5: Solve for x
    x = 4,960.03/74.32
  6. Step 6: Final answer
    x = 66.74

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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.