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Finding the Fourth Proportional to 70.00, 96.48 and 54.45

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Solution

The fourth proportional to 70.00, 96.48 and 54.45 is: 75.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.00 : 96.48 = 54.45 : x
  2. Step 2: Convert to fraction form
    70.00/96.48 = 54.45/x
  3. Step 3: Cross multiply
    70.00x = 96.48 × 54.45
  4. Step 4: Simplify right side
    70.00x = 5,252.99
  5. Step 5: Solve for x
    x = 5,252.99/70.00
  6. Step 6: Final answer
    x = 75.05

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Why These Related Problems?

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