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Finding the Fourth Proportional to 65.53, 89.59 and 63.01

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Solution

The fourth proportional to 65.53, 89.59 and 63.01 is: 86.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.53 : 89.59 = 63.01 : x
  2. Step 2: Convert to fraction form
    65.53/89.59 = 63.01/x
  3. Step 3: Cross multiply
    65.53x = 89.59 × 63.01
  4. Step 4: Simplify right side
    65.53x = 5,645.07
  5. Step 5: Solve for x
    x = 5,645.07/65.53
  6. Step 6: Final answer
    x = 86.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.