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Finding the Fourth Proportional to 65.48, 97.74 and 60.07

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Solution

The fourth proportional to 65.48, 97.74 and 60.07 is: 89.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.48 : 97.74 = 60.07 : x
  2. Step 2: Convert to fraction form
    65.48/97.74 = 60.07/x
  3. Step 3: Cross multiply
    65.48x = 97.74 × 60.07
  4. Step 4: Simplify right side
    65.48x = 5,871.24
  5. Step 5: Solve for x
    x = 5,871.24/65.48
  6. Step 6: Final answer
    x = 89.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.