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Finding the Fourth Proportional to 64.49, 88.95 and 54.23

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Solution

The fourth proportional to 64.49, 88.95 and 54.23 is: 74.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.49 : 88.95 = 54.23 : x
  2. Step 2: Convert to fraction form
    64.49/88.95 = 54.23/x
  3. Step 3: Cross multiply
    64.49x = 88.95 × 54.23
  4. Step 4: Simplify right side
    64.49x = 4,823.76
  5. Step 5: Solve for x
    x = 4,823.76/64.49
  6. Step 6: Final answer
    x = 74.80

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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.