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Finding the Fourth Proportional to 75.74, 114.18 and 70.52

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Solution

The fourth proportional to 75.74, 114.18 and 70.52 is: 106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.74 : 114.18 = 70.52 : x
  2. Step 2: Convert to fraction form
    75.74/114.18 = 70.52/x
  3. Step 3: Cross multiply
    75.74x = 114.18 × 70.52
  4. Step 4: Simplify right side
    75.74x = 8,051.40
  5. Step 5: Solve for x
    x = 8,051.40/75.74
  6. Step 6: Final answer
    x = 106.31

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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.