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Finding the Fourth Proportional to 70.04, 96.57 and 45.47

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Solution

The fourth proportional to 70.04, 96.57 and 45.47 is: 62.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.04 : 96.57 = 45.47 : x
  2. Step 2: Convert to fraction form
    70.04/96.57 = 45.47/x
  3. Step 3: Cross multiply
    70.04x = 96.57 × 45.47
  4. Step 4: Simplify right side
    70.04x = 4,391.28
  5. Step 5: Solve for x
    x = 4,391.28/70.04
  6. Step 6: Final answer
    x = 62.69

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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.