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Finding the Fourth Proportional to 70, 96.54 and 52.58

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Solution

The fourth proportional to 70, 96.54 and 52.58 is: 72.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70 : 96.54 = 52.58 : x
  2. Step 2: Convert to fraction form
    70/96.54 = 52.58/x
  3. Step 3: Cross multiply
    70x = 96.54 × 52.58
  4. Step 4: Simplify right side
    70x = 5,076.07
  5. Step 5: Solve for x
    x = 5,076.07/70
  6. Step 6: Final answer
    x = 72.52

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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.