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Finding the Fourth Proportional to 110.54, 152.47 and 64.54

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Solution

The fourth proportional to 110.54, 152.47 and 64.54 is: 89.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.54 : 152.47 = 64.54 : x
  2. Step 2: Convert to fraction form
    110.54/152.47 = 64.54/x
  3. Step 3: Cross multiply
    110.54x = 152.47 × 64.54
  4. Step 4: Simplify right side
    110.54x = 9,840.41
  5. Step 5: Solve for x
    x = 9,840.41/110.54
  6. Step 6: Final answer
    x = 89.02

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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.