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Finding the Fourth Proportional to 74.76, 103.13 and 45.60

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Solution

The fourth proportional to 74.76, 103.13 and 45.60 is: 62.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.76 : 103.13 = 45.60 : x
  2. Step 2: Convert to fraction form
    74.76/103.13 = 45.60/x
  3. Step 3: Cross multiply
    74.76x = 103.13 × 45.60
  4. Step 4: Simplify right side
    74.76x = 4,702.50
  5. Step 5: Solve for x
    x = 4,702.50/74.76
  6. Step 6: Final answer
    x = 62.90

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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.