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Finding the Fourth Proportional to 30.58, 45.88 and 10.02

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Solution

The fourth proportional to 30.58, 45.88 and 10.02 is: 15.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.58 : 45.88 = 10.02 : x
  2. Step 2: Convert to fraction form
    30.58/45.88 = 10.02/x
  3. Step 3: Cross multiply
    30.58x = 45.88 × 10.02
  4. Step 4: Simplify right side
    30.58x = 459.72
  5. Step 5: Solve for x
    x = 459.72/30.58
  6. Step 6: Final answer
    x = 15.03

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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.