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Finding the Fourth Proportional to 74.45, 112.12 and 56.53

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Solution

The fourth proportional to 74.45, 112.12 and 56.53 is: 85.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.45 : 112.12 = 56.53 : x
  2. Step 2: Convert to fraction form
    74.45/112.12 = 56.53/x
  3. Step 3: Cross multiply
    74.45x = 112.12 × 56.53
  4. Step 4: Simplify right side
    74.45x = 6,338.14
  5. Step 5: Solve for x
    x = 6,338.14/74.45
  6. Step 6: Final answer
    x = 85.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.