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Finding the Fourth Proportional to 101.84, 140.56 and 64.47

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Solution

The fourth proportional to 101.84, 140.56 and 64.47 is: 88.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.84 : 140.56 = 64.47 : x
  2. Step 2: Convert to fraction form
    101.84/140.56 = 64.47/x
  3. Step 3: Cross multiply
    101.84x = 140.56 × 64.47
  4. Step 4: Simplify right side
    101.84x = 9,062.51
  5. Step 5: Solve for x
    x = 9,062.51/101.84
  6. Step 6: Final answer
    x = 88.99

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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.