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Finding the Fourth Proportional to 74.12, 102.32 and 46.53

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Solution

The fourth proportional to 74.12, 102.32 and 46.53 is: 64.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.12 : 102.32 = 46.53 : x
  2. Step 2: Convert to fraction form
    74.12/102.32 = 46.53/x
  3. Step 3: Cross multiply
    74.12x = 102.32 × 46.53
  4. Step 4: Simplify right side
    74.12x = 4,760.89
  5. Step 5: Solve for x
    x = 4,760.89/74.12
  6. Step 6: Final answer
    x = 64.23

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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.