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Finding the Fourth Proportional to 75.84, 105.12 and 70.56

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Solution

The fourth proportional to 75.84, 105.12 and 70.56 is: 97.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.84 : 105.12 = 70.56 : x
  2. Step 2: Convert to fraction form
    75.84/105.12 = 70.56/x
  3. Step 3: Cross multiply
    75.84x = 105.12 × 70.56
  4. Step 4: Simplify right side
    75.84x = 7,417.27
  5. Step 5: Solve for x
    x = 7,417.27/75.84
  6. Step 6: Final answer
    x = 97.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.