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Finding the Fourth Proportional to 74.58, 102.82 and 45.46

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Solution

The fourth proportional to 74.58, 102.82 and 45.46 is: 62.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.58 : 102.82 = 45.46 : x
  2. Step 2: Convert to fraction form
    74.58/102.82 = 45.46/x
  3. Step 3: Cross multiply
    74.58x = 102.82 × 45.46
  4. Step 4: Simplify right side
    74.58x = 4,674.20
  5. Step 5: Solve for x
    x = 4,674.20/74.58
  6. Step 6: Final answer
    x = 62.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.