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Finding the Fourth Proportional to 88.41, 132.51 and 42.77

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Solution

The fourth proportional to 88.41, 132.51 and 42.77 is: 64.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.41 : 132.51 = 42.77 : x
  2. Step 2: Convert to fraction form
    88.41/132.51 = 42.77/x
  3. Step 3: Cross multiply
    88.41x = 132.51 × 42.77
  4. Step 4: Simplify right side
    88.41x = 5,666.79
  5. Step 5: Solve for x
    x = 5,666.79/88.41
  6. Step 6: Final answer
    x = 64.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.