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Finding the Fourth Proportional to 74.77, 103.16 and 45.65

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Solution

The fourth proportional to 74.77, 103.16 and 45.65 is: 62.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.77 : 103.16 = 45.65 : x
  2. Step 2: Convert to fraction form
    74.77/103.16 = 45.65/x
  3. Step 3: Cross multiply
    74.77x = 103.16 × 45.65
  4. Step 4: Simplify right side
    74.77x = 4,709.63
  5. Step 5: Solve for x
    x = 4,709.63/74.77
  6. Step 6: Final answer
    x = 62.99

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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.