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Finding the Fourth Proportional to 60.53, 90.16 and 60.14

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Solution

The fourth proportional to 60.53, 90.16 and 60.14 is: 89.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.53 : 90.16 = 60.14 : x
  2. Step 2: Convert to fraction form
    60.53/90.16 = 60.14/x
  3. Step 3: Cross multiply
    60.53x = 90.16 × 60.14
  4. Step 4: Simplify right side
    60.53x = 5,422.22
  5. Step 5: Solve for x
    x = 5,422.22/60.53
  6. Step 6: Final answer
    x = 89.58

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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.