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Finding the Fourth Proportional to 74.32, 102.52 and 45.16

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Solution

The fourth proportional to 74.32, 102.52 and 45.16 is: 62.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.32 : 102.52 = 45.16 : x
  2. Step 2: Convert to fraction form
    74.32/102.52 = 45.16/x
  3. Step 3: Cross multiply
    74.32x = 102.52 × 45.16
  4. Step 4: Simplify right side
    74.32x = 4,629.80
  5. Step 5: Solve for x
    x = 4,629.80/74.32
  6. Step 6: Final answer
    x = 62.30

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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.